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<title>A Gaussian process emulator of complex HIV and non-communicable disease models. A tutorial using Kenyan data and reproducible R code</title>

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) 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<h1 class="title toc-ignore">A Gaussian process emulator of complex HIV
and non-communicable disease models. A tutorial using Kenyan data and
reproducible R code</h1>
<h4 class="author">inMODELA team</h4>
<h4 class="date">2023-11-21</h4>

</div>


<div id="emulator-development" class="section level1">
<h1>Emulator development</h1>
<p>We developed an emulator for HIV, hypertension and depression using
the gaussian process</p>
</div>
<div id="data" class="section level1">
<h1>Data</h1>
<p>We used data from established simulators for HIV and the
aforementioned NCDs which were built using data from Kenya.</p>
<div id="gaussian-process" class="section level2">
<h2>Gaussian Process</h2>
<p>A Gaussian process fits a model to a dataset, which gives a function
that gives a prediction for the mean at any point along with a variance
of this prediction. We implemented the gaussian process using the GauPro
package.</p>
</div>
<div id="gaupro-package" class="section level2">
<h2>GauPro package</h2>
<p>This R package provides R code for fitting Gaussian process models to
data.</p>
<p>A detailed guide of the GauPro package in R by Collin Erickson can be
found here:</p>
<p><a href="https://cran.r-project.org/web/packages/GauPro/vignettes/GauPro.html" class="uri">https://cran.r-project.org/web/packages/GauPro/vignettes/GauPro.html</a></p>
</div>
<div id="article-information" class="section level2">
<h2>Article information</h2>
<p>This code forms the basis for the emulator in the article: Sawe S,
Mugo M, Wilson-Barthes M, Osetinsky B, Chrysanthopolou S, Yego F, Mwangi
A, Galárraga O</p>
<p>“Gaussian process emulation to improve efficiency of computationally
intensive multidisease models: A practical tutorial with adaptable R
code” BMC.med</p>
<p>Please cite the article when using this code</p>
<ol style="list-style-type: decimal">
<li>HIV</li>
</ol>
<pre class="r"><code># HIV modelling

# Define the emulation period / number of years on the x-axis

# in this tutorial, start year for the inMODELA simulation model was 2018
# in this tutorial, end year for the inMODELA simulation model was 2028
# in this tutorial, number of years forecasted = 11 years

x &lt;- seq(2018,2028,l=11)

# Define the prevalence estimates (based on simulation model(s) and/or the literature) on the y-axis 

# in this tutorial, HIV prevalence estimated from the inMODELA simulation model in 2018 was 4.81%                                      
# in this tutorial, HIV prevalence estimated from the inMODELA simulation model in 2023 was 2.55%
# in this tutorial, number of years forecasted = 11 years

y &lt;- seq(0.0481,0.0255, l=11)

# Look at the trend(s) in HIV prevalence over the forecast time period
plot(x, y,
     ylim=c(0,0.05), xlab=&quot;years&quot;, ylab= &quot;HIV Prevalence&quot;)</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>plot(x, y,
     xlab=&quot;years&quot;, ylab= &quot;HIV Prevalence&quot;)
# Look at how A linear model (LM) would fit the simulation data.
lm_mod &lt;- lm(y ~ x)
plot(x, y, xlab=&quot;years&quot;, ylab= &quot;HIV Prevalence&quot;)
abline(a=lm_mod$coef[1], b=lm_mod$coef[2], col=&#39;red&#39;)    #The LM is insufficient for describing the underlying function producing the data.</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Instead of a linear model, use a Guassian process (GP) model that assumes that the distribution of points follows a multivariate distribution.
# This emulator uses the GauPro R Package: https://cran.r-project.org/web/packages/GauPro/index.html
# A guide to the Gaupro package can be found here: https://cran.r-project.org/web/packages/GauPro/vignettes/GauPro.html

# inMODELA simulator HIV Prevalence confidence intervals
l = c(0.0419,0.0395,0.0373,0.0351,0.0330,0.0309,0.0290,0.0271,0.0254,0.0238,0.0220)  #For each annual prevalence estimate, define the lower bound of the 95% Credibility Interval from the simulation estimates
u = c(0.0543,0.0512,0.0483,0.0455,0.0430,0.0402,0.0378,0.0354,0.0333,0.0312,0.0290)  #For each annual prevalence estimate, define the upper bound of the 95% Credibility Interval from the simulation estimates
                                                                                     # For example, the simulated prevalence of HIV in 2018 was mean=04.81, 95% CI= 04.19, 05.43. 

library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed</code></pre>
<pre class="r"><code>gp</code></pre>
<pre><code>## GauPro object of GauPro_Gauss
##  D = 1, N = 11
##  Theta =  1 
##  Nugget = 1e-06
##  Run update to add data and/or optimize again
##  Use pred to get predictions at new points</code></pre>
<pre class="r"><code># Look at how the GP model fits the simulation data.
plot(x,y, xlab=&quot;years&quot;, ylab= &quot;HIV Prevalence&quot;, main= &quot;Projected prevalence of HIV&quot;,type=&quot;b&quot;, lwd=2)
curve(gp$predict(x), add=T, col=2)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4) #Blue lines visually depict the CIs for emulator&#39;s estimates.
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)                      
lines(x,l,col=&quot;yellow&quot;,lwd=4)                                  #Yellow lines visually depict the CIs for simulator&#39;s estimates.
lines(x,u,col=&quot;yellow&quot;,lwd=4)</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Abstract the confidence intervals for each annual prevalence estimate forecasted by the emulator.
set.seed(1234)                                                 # Create a dataframe using the emulator&#39;s annual prevalence predictions.
new_x &lt;- seq(min(x), max(x), length.out = 11)                  # 11 observations = ll years in the forecast.
predict_df11       &lt;- predict(gp, new_x, se.fit = TRUE)
predict_df11$x     &lt;- new_x
predict_df11$y     &lt;- predict_df11$mean
predict_df11$lower &lt;- predict_df11$y - 1.96 * predict_df11$se
predict_df11$upper &lt;- predict_df11$y + 1.96 * predict_df11$se
View(predict_df11)

# Abstract the confidence intervals for the mean annual prevalence between each point estimate forecasted by the emulator.
set.seed(1234)                                                 # Create a dataframe using the emulator&#39;s annual prevalence predictions.
new_x &lt;- seq(min(x), max(x), length.out = 21)                  # 21 observations = ll annual point estimates + 10 mean estimates between each year. 
predict_df21       &lt;- predict(gp, new_x, se.fit = TRUE)
predict_df21$x     &lt;- new_x
predict_df21$y     &lt;- predict_df21$mean
predict_df21$lower &lt;- predict_df21$y - 1.96 * predict_df21$se
predict_df21$upper &lt;- predict_df21$y + 1.96 * predict_df21$se
View(predict_df21)</code></pre>
<ol start="2" style="list-style-type: decimal">
<li>Hypertension</li>
</ol>
<pre class="r"><code># Hypertension modelling

################# Enter prevalence estimates and forecast period for Hypertension (HTN) #####################

# Define the emulation period / number of years on the x-axis 
x &lt;- seq(2018,2028,l=11)              # in this tutorial, start year for the inMODELA simulation model was 2018
                                      # in this tutorial, end year for the inMODELA simulation model was 2028
                                      # in this tutorial, number of years forecasted = 11 years

# Define the prevalence estimates (based on simulation model(s) and/or the literature) on the y-axis 
y &lt;- seq(0.2947,0.3430, l=11)         # in this tutorial, HTN prevalence estimated from the inMODELA simulation model in 2018 was 29.47%
                                      # in this tutorial, HIV prevalence estimated from the inMODELA simulation model in 2028 was 34.30%
                                      # in this tutorial, number of years forecasted = 11 years

# Look at the trend(s) in HTN prevalence over the forecast time period
plot(x, y,
     ylim=c(0,0.4), xlab=&quot;years&quot;, ylab= &quot;Hypertension Prevalence&quot;)</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Look at how A linear model (LM) would fit the simulation data.
lm_mod &lt;- lm(y ~ x)
plot(x, y, xlab=&quot;years&quot;, ylab= &quot;Hypertension Prevalence&quot;)
abline(a=lm_mod$coef[1], b=lm_mod$coef[2], col=&#39;red&#39;)  #The LM is insufficient for describing the underlying function producing the data.</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Instead of a linear model, use a Guassian process (GP) model that assumes that the distribution of points follows a multivariate distribution.
# This emulator uses the GauPro R Package: https://cran.r-project.org/web/packages/GauPro/index.html

# inMODELA simulator Hypertension Prevalence confidence intervals
l = c(0.2845,0.2908,0.2965,0.3017,0.3073,0.3125,0.3171,0.3213,0.3250,0.3284,0.3313)  #For each annual prevalence estimate, define the lower bound of the 95% Credibility Interval from the simulation estimates
u = c(0.3050,0.3116,0.3177,0.3232,0.3292,0.3347,0.3396,0.3441,0.3480,0.3516,0.3547)  #For each annual prevalence estimate, define the upper bound of the 95% Credibility Interval from the simulation estimates

library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## [1] &quot;All restarts had error, keeping initial&quot;</code></pre>
<pre class="r"><code>gp</code></pre>
<pre><code>## GauPro object of GauPro_Gauss
##  D = 1, N = 11
##  Theta =  1 
##  Nugget = 1e-06
##  Run update to add data and/or optimize again
##  Use pred to get predictions at new points</code></pre>
<pre class="r"><code># Look at how the GP model fits the simulation data.
plot(x,y, xlab=&quot;years&quot;, ylab= &quot;Hypertension Prevalence&quot;, main= &quot;Projected prevalence of Hypertension&quot;,type=&quot;b&quot;, lwd=2)
curve(gp$predict(x), add=T, col=2)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4)                       #Blue lines visually depict the CIs for emulator&#39;s estimates.
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)
lines(x,l,col=&quot;yellow&quot;,lwd=4)                                                        #Yellow lines visually depict the CIs for simulator&#39;s estimates.
lines(x,u,col=&quot;yellow&quot;,lwd=4)</code></pre>
<p><img 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H1q+tMxGAIFWDoL1ycCDQYChbWx5FufexBoIBAorIwV6FPXn27hECjAclmBPTMEGg4ECitiHfpEoOFAoLAa1qJPBBoOBAorYT361PanU0AECrA81mPPDIEGBIHCClhR6zPHU6A37QP7FZlsTkagAMtiZfoU+vOmxfE3xzXtLMIgUIAlsTZ9ygTa1udRo41FQccDIVCA5bA+fUoE2mpyHg7lNFdVHg2FQAGWwhr16S5Qgz4bvyoEut+9YiwYAgVYBuvUp6s/B/RZ+/XBoGPhECjAElipPh0FOqLP3BBFkiIoAu2AQGGRrFafbgId02fZ6kSgvSBQWCAr1qeLP0f1mRXSzFMiUDMIFBbHmvXpIlAbf+6liUDNIFBYGOvWp71ArfTZECgPkbogUFgUa9entUAt/bkfvLSLyjAmAwgUFgT6tPSnrT6z1kykJQ+k3/529eoP15MQKCwG9JlZCtTBn+uZyvn5m80X/3I9CYHCQkCfBTYCddBnjos/EShAgqDPkgn8udzl7D59qPN+J9DXu//+7hICgcICWKI+ZWt6jgvUpftuH/VAQgLdNTlNODVDESgkz9L0ebpHdO5IApfBn9ZBG6fap7WMqB1wDwIFWJY+T5tIAgz/3lafaxBo9vZsszm52POXs83Jn3f//c7lUTwChaRZlD6zpjcFClXw574hZh+0dbpDYruI2gGP3P242dx7U73gIRKsjWXpM2sL070VOpzcovu+6fpzwQLNsn/vmp1/LX9EoLAuFqbPjj8z90boYGoHf1rHNERwSW0VUTtgg7snm81XRSMUgcKaWJo+Tf7MHBU65s+R0036XLpAs+0/NpuT7zMECmtiifo0i8rFoEMpR/1p1ufiBZplH3eN0Md/IFBYDYvT56Am7Q06kNBq5WR/f6Yo0Gz7YtcIfY5AYR0sT58jjrQ2aH+60Y07ehcLWYFAywFNfz5DoLB8FqjPUUNaGlTqzwF9Om/xmaZAiwFNjmPoCxAoJMUS9WnhRzuD9iYa9OeQPlcj0GJAEwKFZbNIfVrZ0UugVv70eeNGOLf0FhG1A/Zw95PbJKQCBArJsEx9esrRIsmQP0f06ezPhAUqAoFCIixVn5aOsmim9qQY8OeYPlcl0PdXr5xWsitAoJAEi9Wn9SN2mxulpqP9/hy++TkQcojkBPqh6LZvX57lV+Lec8ezESgkwHL16eCoUYMaf9/rTwt9Ll+gd89ya/6SZZf7q/G1WwAECtGzZH26KGrEoE7+tNKnwJ9pCfRj0ezcnPxyu/v30cVF/vLcKQIChchZtD4dZhmNJjb9ssefdvpcvECLFZUfPti1QZ/sJJpVU5J+cQmBQCFqlq1PV0W5CtTsT1t9Ll6g15vNF2+qdugPxZHtj45NUAQKEbN0fTobaiC9sz+93q2XhASa27Lw5k6kX1UjQG+PP1qBQCFaFq9Ptw78yAnd3xj9aa/PxQv0sHrIrgl6v33MEgQKkbJ8fUoM1W9Qk0A7iVz0KfJnkgLd/YBAYVGsQZ8iQ/WdY+NP+5ufg281SFoCLZ8Ybf/28E9Vv/2j45JMCBQiZBX6dO/AV2fZHe504B31KfNnSgLNB3+etw5dbw6NUSsQKETHOvQpNVSPdttH2/501ecaBHrbGbR0983gU/iNgclyByBhLfoUCqrnvBF/Cqq7MHspCTR/DL/50/GhezGfc+ghPAKFyFmNPoUd+PLM0WM9/vR9FwtSEmj2+UljDdB8YL3bOHq68BAT69GnvAFqVm/zUNOforaSNHtJCTTbtTmbAr33xi0AAoVoWJM+fQRqMOiAP4VdzXUItMn2n476RKAQD6vSp48/DSc3DtT9Kb5Vt0aBCkCgEAfr0qenQDtn11/X/Cl/0iHOHgIFCM7a9Onpz04nvvby6E+fB8UI1A4ECvOzOn16C7R1frMBWv7Xa5yNPHsIFCAs69Ontz9bERoN0PK/fsMUVytQ5sJDYqxQnxMKtOrAe47y9sgeAgUIxwp775mGPxsx2v70niSDQG1BoDAj69SnlkBPjz9WPxT+9J9k6JO9xAWaffrgtLcxAoXZWKs+VfxZj7L/qeFPlcjupC5QRxAozMVa9akl0EOYhj8z/yUuvLKHQAECsNrmZ6Yo0NN6uNrzI9+4HicjUIDJWbM+tfyZBypam2W8vh3gBVF9zk5QoNsPv11dXb364LKZ3B4ECuFZtT4VBbopDJr/o+jPlQn0/bPa2p6PX7uejkAhNCvXp5o/K3cW/9zE4s/EBHr3pLU88j235UARKIRm5fpUFWghz93/Ff25KoHenuUX8eFFyYP8xckPThEQKARl7c1PXX/u5Hla+lOtIvtmLyWBFivQP68deHe2cRtHj0AhJOhTV6DFk/jTwp8I1J3rji4/D28q1wWBQjAWok/fheiUslENVyoEqre5mXf2EhJovqdcu8N+O7yrXAcECoFIXJ+ndbzi6ORncxDozY3C2M89axKoad47c+EhTtLWZ9OfXtsZaeWocmaRGTWB+mcPgQKok3jzs7UCvIdCVQWaD/9EoGJ2XfjOJsZ04SE+UtenYQcNqUKVBXpzUzyG1xKoQu4SEmh22bFlflv0vksIBApTk7w+TRuxCw2q589CoDelQE8RqIiPZzuD1ncyvtv5s9MoHQSBwsQkr0+TPzOhQhUFmhXD58uR9KfR+DMpgebjmHbGvPj5KufXciT9uVMEBAqTkr4+e/wpMqimP/PZ7zeHyZwqEVcn0OztWWsq58n3bgEQKExI+r33fn8O/6rvBN/cHCmHz5fdd+0Vmj1IS6DZ9mVdoSdPXVdkQqAwGUvQ57AkXQ2qKNBy9fnDgnYagdco0B3b91cvLy4unl69Fqxnh0BhIhahzzFFuplL5RlNWWWr1UOOi9L7h9axe3oC9QKBwjQsQp/jYnIyl8I0n0qg+9WXDhER6DwgUJiCZTQ/bfTooB3/dToqgR5XrzPszClF6fYCAgXwZCH6tJOKvXi8V9oc8Kd/Jx6BSkCgoM1i9GnnFHtzeW7Wtu+/1xZPrkf0NKjeIic6cWoRtQNqgkBBl+Xo01Yqtuby2229c/uzExKBzgACBVUWpE9rp1gaVK6oTaP52eNPPwcqLlOqFOgYUTugJggUFFlS89Opb656r7TFptn8rG1+1F3iRPgWKsOgShAogIxF6dPx+fp4Wqmiavps713cDukjUOmZbRAogISF6dPNKbrjnWrU9TnmT7kHVReJUgu1j6gdUBMECiosTZ+undrR1CJHtfXZ3LvYuMie4F0QqBwEChosTZ/uThmfsuSchc2wP00hZ1+lFIECuLK45qfAKSMnuDtqTJ/mmBIX6j1ByhAogCML1KdERGOrjrhFa+rT2p8ig6quUopAARxYpD71NeQYcFyf/QKddZVnBArgwCL1KevUDi8c6hKpqc8ef/bFdL95i0DlIFDwYJn6FDbKtARqp8/+kPMt8pyDQAHsWGbvPRM7ZWjvD+sgG0t/Dgk08CLPDRAogA2L1aeHQL0bhdb6HNZ1yEWeWyBQgHEWrE+5U/pOdPZn9fJmwJ9DQQMu8twBgQKMsmB9+q3J4XK4TUufQ83PkZi6y6A4gUABRlhy89OrUeYjUCd9jgrUdolSbX8iUIBhlq3PCZbVtAlouvk55M/RYae6i+nbg0ABBli6Pv3uCgoF6qxPi6n3Ngvs6fsTgQL0s3h9TrEzxmjE7ryjEX1arf40rtgJ/IlAAXpZvj59H0sbV0gaPkWgT5tsjghyIn8iUIAeVtD89B/X47rKsUGfoncxpRkc6TSJPhEogJlV6DO0QLtr1tno0zaXQyP7J/InAgUwsBJ9Kgwsd9ioSKpP62z2eXI6fyJQgA5r0WdQgcr1aZ9NkylPp7r9WYBAAVqsRp8qMxtbMfpCeujTIZttW56eTutPBArQZD3NzykE2hPRR5+Ok91rypzanhkCBWiyIn0qLa3RavIZUtT1aTluqf8dLFLXcHsjdxAowJE16XMKgZoi1m9+SvQp23AkiD4RKMCRdelTbXG3WphuxJo+RfY0Bo0HBApQsTJ9qolpSKD++kSgEYFAoY+1NT8VxXQI1I540KfcnnH7M6BAP11dvfoj2/6u/X5OIFDoYXX6VBRTj0BV9IlAC94+2F3IL/6Vff7m3hvtd3QAgYKR9TU/VcW0D9UIWenTz57toLERSKAviktZCHRz8ov2W9qDQMHAGvU5hUANDVBvfcbtz0ACvd5dyXt/P9sJdPvjZvPVH9rvaQ0ChS6r1KeumE5Pc1u2BepvzwyB7vh4ttl8v2t87gRaGPQH7fe0BoFCm3U2P3XFtNkLtFa/blT0iUB3XG4297NKoNlt8WImECi0WKk+Nb1UubO0aHVMyZ6x+zOIQHeNzvy+ZyXQXXN0vj48AoUGa21+TidQ8XyjHhBo/uAoV2cl0OrVPCBQqLFefWr7s7j/WQpUq+tegUARKMTJevWpLtBqRw2l50Y1IvcnXXhYKytufmYTCDQ3qLY9MwRacLnZnB8Ees1DJIiAVetTvQdfhCz0qVzFEGhWPHgvxtDnAt39zDAmmJt1Nz+VxzCVS4XkAt23RtWI3Z9hBJqP/Tx5ngt0+48NA+lhbtauT3WB5k3PYvlNBOof0XDs8zebI0zlhHlZij7lclH1UnXns3yIhEC9I5oO5m3QChYTgVlZQvPTd8cKRS/dVHc+D8OYNKtY9P4Mt5zd3bN8PaaTx6+1388JBLp2ktfn6anCnj9qYqrsWY6kPwykVwOBRgYCXTlL8WftlSiITmaqUUt7gRb/14lcgUAjA4GumuT1mbWFKWuF6nipNuizmsbZWExEgfj9GU6g2/+WP3v//L//x3yP4DMEum6S12fHn5msEaohpuaY+Y1pPTtvEOieu283+3mcJ3/VfkcHEOh6Sb/5afJnJlCogpc6U47KmAhUIaLh2O3Z5iDQYlaSAu+vXrnvr4RA18oy9GkWiqtBvb3UnXJk3NPDlwT8GW5B5ZOvi777pxeeA0E/FGG2L8+KIVHPXTOHQNdJ+voc1KSbQT3FdHjybgiJQP0jdg9d1mcfXXrMhb97llvzlyJIydeOmUOga2QBzc8RR7q4xstLN8eBS8aYmtJDoCXVakwVHqsxfTyrpjLlE+ofXVycOd8PQKBrZAH6HG1jOsjGw0s9+qyFnGCrz6gJuB6o8ZULxQ3Uhw92bdAnpZG3zvcDEOj6WELzc7yP7tCJF4vpaM92PaqFnGC3+ZhJSaDXm80Xb6p2aLmgUz5D9Nwpcwh0ZSxCnzZ6tDao1Ev9+pxGoEn4M1QXvraC3a10OaZDmOtjBNdgCHRlLEKfdjKxNahMTEP6bIbUEh8CPXBd62nn7cdzUeBD03UX4n77mG3mEOiaWEbz09YllgaViGlQnwhUN2L3UHHz8vHzDx8+/PZMvh7oQZa7HxAojLMQfVq7xCqZwEsj+mzH1DFfGv4MNJC+enzutx5oPoupOHX7t4d/+uMQGIGCkaU0Px1cYtfTd3z3uj5t/IlAPSOaDhYDOEseiyfDX3Y7/64bLCHQtbAcfTo8YLdJ6SimcX12Q2q4LxF/BlxM5LefLi4uvnvusZbIbaf1evcNT+HBxHL06TjEcyytwJ8j+lygQB2+NCktZ1csa/+no4GL+ZxuN1QR6CpYUPPTUSUW40UdolnpsxtSvlL+QNBguH1tUhJo9vnJpjWi1PWGKgJdA0vSp6tKFAU6+uyoN6S//ebyp/MXJymBZrs2Z1OgrhssIdDls6jmp7tKhtM7+nO8+WmO6e2/WQQq+eaEEmhxB3TPdzqLKm//6bw/HQJdOgvT52wCtdanMaSv/2bwZ/uLE5VAG8OYNtKpnAog0IWzNH0KVDJ0hm002957b0xPA4YWqMGeMQm05U8ECtOwuOan5HnM0CmW0Rz0uQCBmu0Z01P4690H8ejnDwfcV5I3wIr00GR5+pSZxFegTvrsC+mlwID+9LJnFm4xEfEaym1YkR7M4M/xsyziufTeB0J6DWUKJVBfe2bBlrPz2sXjCCvSQw9L1KdcoD2nWfrTQZ/9IT0kGMafCvbM5lgP1ANWpIceFqlPsUnEAnXVp2drV/1Ma3TsmQXrwqsIlBXpwcwym58e3WDZjcla7933ncbfTBRTBzV7ZuEeIv3QPeoMK9KDiYXqU19Bw/Fcb36OhtRuP+ugac8s3HqgCk1QVqQHE0vVp/5txKF4In2OCVSW/wkFqmzPLOBA+pOnHzwDsyI9dFls89NPJEZ5DQSU6XMkj9pjCDzRt2cW7CGSxkB6VqSHDsvVp/5Qyv54Un2OZVFUgmkEOok9s9QEyor0UGfBzc8JJvP0BZQ8OxoJafdrtXPGmMqeWSCBfvuwySPZDVFWpIc6i9angkC7y3QaE4qbn/0hrX+vc8owE9ozS2s5O2B1Kr4AACAASURBVOcV6TcGJssdBGbZ+tRfEc4c0Eef43nUXQpFwLT2zNISqPOK9Ah0uSy8+TnBosTGgPLee29IxxS+JwwwuT2ztATKivSwZ+n6DCNQP33aZNF1KJOeP0PYMwsp0E9XV6/+yLZeKzGxIj3kLL75OcHGbEP+1IjvkUaevI9A9szCCfTtg/Lp++dvXJ3XDyvSr5MV6DOEQD2bn6aQ4kSixH2Es2cWTKAv9sOX9FZmEoFA02cN+lRqidWjtCP6Nj9t8+jSiVfYzjOoPbNQAs1XVL7397z7nT8IctuJWBUEmjqraH7qCfT0+GPjN/76tM6jgxV9Sx3anlnALT2+3zU+8/uXhxnts4BA02Yl+lR7ltIn0L0/lYLrpPMs9Qz2zAIJ9LIY7l4KNB/NqbY8vTMINGnW4k+9h9GHQPWIKvp0yKO6abvMY88s2Hqg+X3PSqC75qheH5658GtiLfqcQKC1gDc6/nQSqOXdUmFOZrNnFnRF+kqgauvT10LbZw6BJst69Kk5mvz0tLjVeYyopE+nPE4p0DntmSFQSIUV+VNXoKelQMtvfq5PrcDKiSWFntmeWfJd+OyT2x7JCDRR1qRPRX+W6qz+qXrvSqEdBWozackxB/PbMwv3EOn8IFDXBZRUQaBpsiZ9Kgu0kGfZDFXUp/sMI+V1R6KwZxZIoLfVGPpcoPmGmgxjAhdW1fzU9mdx+zMXqKY+3TM5vvCdQ8BY7JkFEmg+9vPkeS7Q7T82DKQHN+avJWHRFWjhplPV3nuO8jJL9v7sk+dM34swM5Eaa9L7TuXcfvjt6urq1QeJhhFockRRTUKi+ATpKNDy2btaYNFCn/2nnFr7My57ZsHmwhdLeZb4LSby/llNxY9fO2cOgSZGLBUlHMo9+CLiqc7QpSOipeb7TrL1Z3T2zAIuZ3f3LF+P6cTdeY0gT1rLI99zbM0i0LSIqKa44KVA3Rbo7t+bXKCZqkCFu8WZT/PTpyAjmiS1oPLtWf4teHhR8qC4H+D2QAqBJkVcdcWK0wqPAHqZqR69F9mZX6A9CrW6WHHaM0tLoMUK9M9rB96due7wiUBTIrbKMsJpE3EUvRyVj95zgZ7q7mcjzWT3ulhdqVjtmaUl0OuOLj8PbyrXBYGmQ4zVZYiGN+UGVRVo8exoF1FZoF4N7NYyz6OxIrZnNrVAOzvCb/YLKwswLYR36zgoCoEmQ5z1pZ+2CYQK1fRnNe39MJJeLbBPJlvtdJE+5e+uTkICNc17Zy78Qom3xvRg2oZdolA9gR5WXdoLVCuwbx7t/Rm5PHMmFui3D008QqAwSNR1xoRRBRKFagl0P3B+P41Ts2WrvHd7HwnoM6l7oNWaJA3owi+R2CtNlz5ROhtU05/lT/oCDeLPJOyZJSXQfE2Sli3z26JOK5Mg0ARIoNq0GNCko0EV5NReNaQKqae96QUa+43PGikJNN9a6av6PKa7H10nhiLQ6Emi2jQZlGRggVb67Phzgl1CpiIde2YzCVQ0jT0rN/fcnFz8fJXzazmS/twtcwg0clKpODVGGpn6S7f3s2k3P3t2RfJhWoEm1PgsCDUX/teLPQ8fyFekf3vWep5/8r1j5hBo1KRTcY6MddLdNkb3ykqlz8aXXFugk/ozMXtmoQR62xSffEuP7ct6pJOnrk1ZBBo1SVWdCpulgsPs69vpvbdC6qhvOoGm1vgsCLYvfJ3HPguCbt9fvdw1ZJ9evRZEQaAxk1bVKVHdrMJHTobeeyukivom82eK9swCCTS/d/n41282J//HyyfO63+ogkDjJb3Kk2MllOk3Rt/rs/P9rofUkN80Ak2y8VkQaFO5/FnPZTET85oV6cFEgpUns9+wd9qN0TfG3nsnpIL8JvFnsvbMgm1rnA82ui40aprRHg4EGimJVh9bodgZVGqnnt57N6S//vQFmrI9s6D7wt+Wg95v2ZUT2qRaf3TvbsrsNKDPdkRv/Wn7M92u+56AAq02hN+9mq8Pj0BjJNkK5DBCaYqN0XP6e++mkL4C1BVo8vbMgt0DzQVamdN1/Q9VEGiEpFuFnEZ4jqYV2Gkz1Pw0hPRZKt8Qzof0G58FQZ7CXxb3QI8eRaBwIOEq5OQTm/Giju8/pk9DxFgEugx7ZuGGMeW3PcvH8K4LKKmCQGMj5UqkO83d1U6b4d57T0i/tZDl59ZZSOOzIIhA83WVd9LcqfOL1//9Gx4iwZ6kK5GrT0anfDpFG21+mkPOL9AF2TMLNpWzmL653xzebQElVRBoVKRdjeYUqI0+zRHlFtTw55IanwWBFhN596S4/flEsgCIJgg0IhKvRu4+GTzDJZxF77035Jz7hS7Nnlnw5ezeXVw8/V37HR1AoPGQeEUSiEhp3VBLffaFlHrQ158LtGeW1oLKCiDQaEi9Jkl8MnCOdbiDPcf02RtSaEI/gS5Tn4HGgf5zvsnvLRBoJCRflWQ6Gdr6wy6CtT6HBCrJu48/l2rPLNhMpHvP43AoAo2D9OvSPAK17LuPhJQ1nqUCNdkzyY/cSCCB7nj0WvudBCDQGFhAZdK+kWgVz0mfKvcLvE4pWLQ9s0D3QN89KYcvPX7T/V1YEGgELKA2idtjHgLtXfLT8a3s3s37jJxlNz4LQu2J9PKBcBMOXRDo7CyiOqkPphwN6KpPvTFTshOy5Tc+C8I9hf9UbWc06+1QBDo3y6hQPgIVjW53672PhnRtQbuXdwWNz4Kgw5junp3574nkBQKdl4VUKPX5kCMBbaYduYWcWKArsWcWfhzo+2deu3L6gkBnZSlVymtIpOnkwYASfeouXeJW3rU0PgsCC3T77lsEulYWU6XU14QbCmg77cghZPl71bVMj6zJnllggRb2nPVJEgKdj+VUKs9JjS6rdAr1aZFH3dX0K1ZmzyykQIvOe34DdM7xoAh0NpZTq/z3xbDdaEOsT7sdRCzLYZtuVV33PYEEun98dO+59tu5gUBnYknVSn1rtr6AYn3a5dHWoHbJ1mjPLNBc+GoA09yDQDMEOhdLqlcKy2K2QpgjeujTMpOKmy2vVJ8Bp3JGMA0pQ6DzsKyKpS5QY0AvfdrmUamdulp7ZsEE+mjmrvseBDoDy6pZKvtaNIIYIu71Kf266t3eHPfnmvUZqAv/avau+x4EGpylVa0AAvXVp4tAfUc7rdqeGQsqw8QsrXIp7UxZC2Pwp6c+HTI5IsiRX6+78VkQcC781dWuJbqdc0MPBBqa5VWuyQXqr0+nTI5sMzIUCHtm4QT69kE5A+nzN/fmfJiEQIOyvOql5M96oEZIDX26TtMcWOR5IBD2LAgk0BfFOKZCoHPuaoxAQ7LE+qUvUIM/fb+lbpk87fPkgD9pfO4JI9DrfAz938+qveG/mu+ZEgINxxIrmJo/j6EaITX0KVhqyajKfn+izyNBBPrxbLP5ftf4zBcRyQ36g/Z7WoNAg7HICqYq0KJXVo+o0HsvI7ufYZqfbw6DPRsEEejlZnM/qwSa3RYvZgKBBmKZVUzRn9mmNOju3/0R+bj5JsI949qzo4xR0GeLIONAfyzue1YC3TVH5+vDI9AwLLSK6Qm0VGf1b3FES5/CXNb68aenPZ169Nkl0EykXJ2VQKtX84BAQ7DUOqbYAN27s7Ro1XvXCS3f765B5/fY0wQCBW0WW8lUG6Dl7c9SoIr69Nyvqa/tiT57oAsPuiy3lik3QIuAO4HeqOpT90btHvTZR6iHSOcHgV7zEGnJLLiaTSDQ01NtfU7gT+w5QBCB3lZj6HOB7n5mGNNiWXQ9U+7BFxFPi4Gfmt9KbYGiz0GCCDQf+3nyPBfo9h8bBtIvl0VXNNUxTMUX8Sb3Z9UaVUNVoNhzjDAzkYollfcwlXOhLLymKQt0k93cFA9sdAWqmUv0OU6gufB5G7SCxUQWShJVzUMvygLNb33mAt3EKlD0aUOw5ezunj0oNvaYc09OBDodUVe14QGOtjEUM1QNXMqzoytQrVxiT0tYUBk0iLqytYaIyxyjKtBy0ZCdPfcD6bXQySX6tCaIQF/MvZvxAQQ6CXFXtqYypQpVFGipz+NUJLXAOrlEnw4EHEgfAwh0CuKubR1fihSq589q4OdRoFqBM41cYk83Ak7ljAEEqk/k1c0kS4FCtQR6HDd/WE1EJ3CBbzD06UqgFigCXSxx17c+UzobVMFz7UnvZUj5Y60ufqGwp4Ag90Bnnb3ZAIEqE3mFG/Ckm7j8LdddM6SKGYlA0aeIME/h355t7v38QfudBCBQVWKvcSNbTjpF8sxKd8kl865IXsgjoU8hQbrwP138ZVOH5eyWQew1bnTTc5dQXjkxbbapL1BpIOwpJ9BDpA0CXRzR17mxTrpDJ97Pcea9ins2NvZAFgd9+hBEoN8+bPIIgaZP9HVu3I/2BvVR3F6fvf7Ueo4kioI+/UhsJtL25bcP//wfx9WcXEdIIVAl4q90NlayNpfccD36bIacS6DY05u0BPrvs3I9p6d7hSLQWUih1lnpxNKgHv7s0WcrpoZBnWOgTwWSEuj14S7qfklRBDoHKdQ6S51MK9B+fbZChhco9tRheoHePds1G798+rt/5I+7QPeef/jwIv9vqU0EGp406p1q51zmtwF9dkIqGNQlBPrUYmqBbl/sl1H+q3fk633L8+7J3qAINDhp1DuHx0M2t0oFOdjrs+cbpy5QhwjoU4+pBXp5HLx07hk4X5T5h+OPhUsRaGASqXhOI5RGkwrsVj476l+prhPS26C2AbCnKhMLdN/rfvfEfyuPuixzg97PEGhgkql5bmPkx4c7ub7/iD6NAvUzqOXp6FOZiQV6ue9154Ppz/0CN2RZxUOgIUmm5rnJaCy1s9oGb372xQwhUPSpzrQCrfW6/RcUacpy17bdNWkRaDgSqnq6Ky05RrPQpzGkn0HHz8aeUzCtQHd+23fcd8Lz3M64ZuOcfLP5Nwg0GAnVPfe1PtXmzI/e/OwP6SXQ0ZPR5zRMLtC93xRWVW41Yncvv/h/EWgYkqp8zioaPMElmp0+e2L6GHT4XOw5GSkJNH8i9bg2nvTSfWUSBCoirdonEJHSsnc2vff+kB7PkYbONNgz8g8wJVISaDETqR7kBQINQlq1T+KhgXPso+2bnzZv5/lW9meiz2lJSqD5wsyNILvXCHRqUqt+yntu2oaz12d/TKlBe8/DnlOTlkCz7bvvGk+iti/OEOi0pFb/hBIa2PrD5vTeRZcmeC/r89Dn9CQmUF8QqCPpVUBlgVr600GfGs1dm7PQZwgQKPSTYAUU30f0uC/pps+hkHoCxZ5hmH4c6M9XBb+eHX68euU3ILTk/dUr9xWeEKgLCdZA+ZPs3v2Px0501KfaI/+hc9BnKCYXqAmfpuiHQr7bl8XSyveeu2YOgVqTZBX0GEspG5s5suiS9RsdfudcgO4p6DMcaQn07lluzV9qizx97Zg5BGpLmlVQezD6SDyBPkdCSgTafI0+QzLxXPjfrkxIu/Afqx09frnd/fvo4uLMeZE8BGpJonXQczpk9+zhgJbzjlxCCuahNl6iz7CktKVH0Z59+GDXBn1STrHPV2t2WyQPgVqRbB3UXpBjMJ5In5MKtGvPdD66RElJoPnk9zdVO7RcVSRfX+TcJQQCtSHZOui7KrHLMsfOz47GQ1om6EuNPmcgIYEeVmO6Pm4qd7txW+MJgY6TcCX0F+hp+0BPSttVQ0zv4ZoJu3DocxYSEuhhJOmuCXq/fcwSBDpKwpVQfWOhvoByfdpk0sWg+6TocyZSFOjuBwQ6EUnXQvWtLXsCSnvvAyGd0+xTFknR52ykJdDyidH2bw//VPXbP54hUE3SroVhBOqjT8s8WhekSIg+ZyQhgeaDP89bh1w3CkGgQyReCxX82QxiCuinT2uB2hUlT4Y9ZyUlgd52Bi3dDW9VZxrEP1nukif5ehhAoD43P3tC9iSzSnd6ij5nJiWB5o/hN386PnQv5nMOPYRHoA4kXw9V/NkI047orU/7TFoZFH3OT0oCzT4/aUwDzQfWO242j0B7WEBFVBdox5+evXdDyKGUo0nRZwQkJdBs1+ZsCvTeG7cACNTMAiqikj9rgZoRFfTplMmRpF17JvmpJU9aAm2y/aejPhGomUXUxIkF6rBhh01sz7ToMxZSFqgABNplITVRTaD7SI2A3jc/uyHHE7PTUfyEEuhvP10c+U5jQWURCLTDQmqinj93oYrHjbWIGr33MrJbarbqiJ4wAq3WodNYUNkPBNpiMVVRUaCb0qC7f6sDuT5VIjtm8tSgUPQZF0EE2vInAo2GxVRFPX+W6qz+yQ+o6dM9kx2Dos/YCCLQ63z9458/HHDfy6gP5sL7sKC6qCrQQp5lM7TsvSuFFmSyoVDsGR8hBJoPgHeacGkPApWzpMqo68/i9mchUE19SneM2ysUfcZICIEeVgHRB4GKWVRl1BVo1fBT1qd8x3qmvMdLIIFOdtfzk9v9AARasazaqPkE6SDQ8tG7WmCvLevRZ6wE6sLP99ioCQItWVhtVO7BFxFPVUZ+1pHmsmvP5D+w5RDqIdIP2m8jA4HmRFkd/fbTVMtG6cyb3J+Z7uIzwkyiz6gJItAp+/BuINAI9Xm6Rx5ALzPVo/ciNxEIFH1GTrCB9CdPPyi9wfZDvtv8qw+S6UwINK7e+2kTcRS9HFWP3ouHSKoClWQSfUZPoIdIagPp3z+rxXn82jlzaxdoXPWx6U2xQlUFWj56z/Myt0DRZwKkJdC7J61I9xyHR61doHHVx7Ywha1QTX9Wq4bs7FkNpFfDNZfoMwmCCPTbh00eCQV6W0wJfVgtSfIgf3Hi9nRq3QKNrEIabCkyqKJAq0WXDlOR1AK7ZhJ7JkJKy9kVK9A/rx14d+baml2zQGOrkWZXChSqJtBq4PxRoEpxc5wyiT6TISWBXnd0+Xl4U7kuKxZoZDWyV5TOBtXy53He0WE5Jp3AOS6x0GdCJCTQfEp9u8N+O7yrXIfVCjS2KjmkSUeD6niuMW2zDDmPQNFnUoQT6KerfPCRx0JMptGkzIW3I7YqOezI4AIthy51Qqou0myVrGvP+T8rGCKUQN8+qJ6bn3wvDYxApURXJ8famFpbB9nR1uchpMfY/hZ2gdBnegQS6Iva0KOvhRt67LrwnUWd6MKPE1+dHBWTi7l8JVetWVf/YvTsy+mBTSD0mSJhBJqvqHzy+Orq12f5QCTp2qCXHVs6rzS6QoHGVyct9GhvUE/HbUy7FfdvDS/EIgz6TJNgW3pU7c7tri0qXRw0D/NVfSfjux9dg61PoBFWShsrBRLoxrRbcS1kKIGiz1QJItDLejvxUt4EvS5uol78nD+Ouvq1HEl/7pa5lQk0xkppJyVbdfkozqjPZkgVg44FQZ/pEmg90Fo7cdeOdLptWedta3c650dSKxNolLXSVqCqnjVguPnZjRlAoNgzZcKvSO+1tt32ZV2hJ09dTbwqgcZZLe2bljYJxYLb9DQ/2yE1DDoUA32mTWIC3bF9f/Xy4uLi6dVrQTt2TQKNtFrq3t0U+q1fnxMIdCAE+kydtLrw3qxHoLHWS90BSjK9bXp774aY/gbti8CtzwWQ1EMkf1Yj0GgrppNALYY7uedgWJ+dkN6j6e396fc+MAdBBHq7+87un/a83cy5QdJKBBpvxXSy0bi7BHIb1qch5DQCRZ/LIMxA+st87eOfP3z48OsTj4H0CqxDoPHWTOV1QtzdNqZPU0xPg5pOR59LIYxA8xlDB+a7A7oSgUZcM11dpDhnPmdcn6aQfgI1nI0+l0OgufDbw2T4E+lUeBVWINCYq6b2Wslu8YzTNm1Cehm0czL6XBLhlrP77aeLi4vvXmm/nRvLF2jUVdPdRHrL3g2NXBqJ6fMcqX0q9lwWCS2orMHSBRp35RTtdzRwjkM8S332hFQTKK3PpYFAl0TkdVN5y037cCMjl8Zjig3aOBF9Lg8Euhxir5wyCw1t/WEXYbNvfsrfTUOg6HOJTCvQctqm3r7w/plbsECjr50zCdRBn/0hhQY9noY+lwkCXQjx105pK67vPLt4+96733uJ5V+dhj6XysQC/fbho3/l/zZ5hEC1ib96ih9l+wjUTZ8a9wtMJ6HP5cI90CWQQvWUP8kW35e0f3Y0HlLi//IU9LlkEOgCSKJ++gjUdOpoPJdnRxYxJWNY81PQ56JBoOmTRP30mc0jEahAn5rD9vcnoM+FE1ag+ZYcj98MJJiaBQo0kQqqOx1yLODG9ebneEjJPH70uXgCCfTdk/zJ+3U5G164KacGyxNoIhVUfUGOMX+661N76ZJT9LkCgu0LvxPox7O5RzEtTqDJ1FD1JeEGAgr1aSFQl0Kgz1UQbF/4nTULjeYr251rv6c1CxNoMjXUf1HizjrxfUnF+hzPpINB0edKCCLQ62IR0Fyd94vl6dnSQ4WEqqj3xkK2AnUeuWQRs57CrhwdfUb94YAHATeVy9uhP/jvyunFkgSaUhVV35nNHNBHn1Z5tDIo+lwRAbc1vi6fHyFQFZKqov7+bIUwBvTSp2Umxw2KPldFQIFelo+PEKgGadVRBYE2YxgCigZ+9r6BNBX6XBnhBFrdAmVfeA3SqqMa/hwTqK8+rTM5lA59ro5A90A3P+xvgbIvvD+pVVIVgdajdALKH733x+xN15cQfa6QUE/h773+T0UPfvsP9oX3JbVKquPPAYHue+9K0UdTGpOiz1USRKD7BUHPy5/YF96H9GqpkkBrcRoRvW9+dkOOJTWkRZ/rJMxMpHIO0ld/FAKdc1/j9AWaYC1VF2jbn769907M0bSjWxV75gZSIdS+8O8uvnu9++/n/+3xa+03dCF1gaZYTbX8eYzUFKiGPh0z2TIo+lwvLGeXEknWU02BFneCGgFV9Om+UEhNoehzzSDQdEiznur5M9uUBt39uz+ipE/JWp9923Uo5AbSAYEmQ6IVVU2gpTqrf4sjWvoUZbJQKPpcO6EE+ttPF0e+YyC9M6lWVL0G6N6dpUU19SnL5Wl3wc90PhZQIuRTeLY1lpNsRdVsgJa3P0uBaupTlsmuPvVuVkAqBFsPFIH6kKo+lRugRbydQG9U9SnKpUGf+HOFhJqJtHn084cDv2u/pzVpCjTZ5ucUAj091danIJN03qEk1Fz4GWcf1UlSoCnXVN0efBEwF+hG9YN0zST6hD2BVmOacyO5OgkKNOmqqjmGqfjsbnJ/Vq1RNdxyiT7hSMD1QGMgPYGmXVV1BbrJbm6K8Ze6AvXbKy65zwQ0CdSFR6AyUq+rugLNb33mAt3MJ1D0CQ1CPUSabwW7BokJNPXKqvlguhq4lD9F0hWoQybRJ7QItZxdJE3QpAQaSWX1kKCmQIsV6/JR9PuB9FpYZxJ9QodgA+lPnn7QficBKQk0gtp6WiE+XS0npT6PU5HUAlvnEn2CgUAPkRhI78zMtfW0iTCGUmaqgZ9HgSrFzbHLJPoEIwg0Tuaurg1vShWqJNDjuPnDaiIqcUtEO70rvj8kTRCBfvuwySMEOsLc1bUtTJFCdTzXmHZUhpTfVOhiEaqjT/wJe1jOLkJmr64GQwkUqqG51qzNKmRIgaJPGACBxsfs1dWsSmeD+mvuprVZnHlXJC9GIqFPGASBxsb89bVXlG4G9ZbczU171ru+QIcDoU8YIZxAP11dvfoj2863ElNO/AKdv8IOaNLJoJ6S2+xHLhlD6m+V3AV9wiihBPr2Qfn0/fM3995ov6MDsQs0ggo7KEkHg3oqzqDPekil50gDUdAnWBBIoC/2w5dmXpkpcoFGUGNHzGQvLi/DdXvv7ZATCxR9ghVhBJqvqHzv72c7geZrg34125ZIcQs0hho7KsgQAt0Y9dkKqWHQvhjoEywJtqXH97vGZz6APjfofCuLxCzQGKqsRQPTUlxyv5lufhpCTihQ9Am2BBHoZbEifSnQ7HbO5ekjFmgMVdamg27ZiZf6bWPuvRtCKhjUGAJ9gj2B1gPN73tWAt01R+frw0cr0DjqrJWT7Awq09uAPicQqCkC+gQXAq5IXwl01rXtYhVoHHXWundu004VvP+gPrshvQ1qCIA+wQkEGgGRVFrrJ+x6d0obDOrTKFA/g3ZPR5/gCF34+Yml0rqM8dR6Vn9kRJ+mmMoCRZ/gTKiHSOcHgV5LHyJ1VsUTrI0XoUCjqbVus4yGEzurbVSfxpB+Bm2djT/BnSACva3G0Oeu2/0sHMa0TIFGU2tVJ7o7mu2mb+TSSEgvgTZPRp8gIYhA87GfJ89zgW7/sZEPpL97sjiBxlNrVZdacop1Y6PPnpg+Bq2fiz5BRpiZSI3Go3wqZy7ic3nOsugEGlG1VV3s0yGYpT57Qno8R8KfoECgufC5+ip8FhPxnsYUlUBjqrWq683bBzvYc/Rz6YmpIVD0CWKCLWd39yxfj+nk8Wuv4L5joGISaEzVVrRhx8Cqd3Yh7PXZH1Nq0MN56BM8SG1B5Vu/TnxEAo2q2ko05C1QB332h/QVKP4EH4KMA/0tX0r5wG8vn8rHge468T5N0GgEGle1lVnIr1Hook8FW5vPQp/gR8CZSMZXzny8uPi/5WfHItC4qq3wUUzfaTbRLB8dWcT0ECj6BF+SE6gfkQg0snrrfR/ROZxb83M4pPT2Q1uf838OkB4TC/TfFzv+crY5+fPFnieOQzd1MxeDQGOrtjpDgRzCuepzTKCiB2DoExSYWKD5Uspd1r0eaGz1Vmks5fDBGq6999GYEoGiT1Bh6i78pcGf92ZrgMYg0OgqrtZsHrt4vevNu76N/a+76em9gxJTC3R7dXX1664L//PVgQ867/P+6pX7FsmzCzTCeusnUMclkiT6VBco+gQtwj9E8uRDMQRq+7K4N3DvuePZcws0woqruqLRSLzxNZds38Xt9w3QJ+gxwzhQD+6e5db8pXZn4GvHzM0r0BhrrvaqxP3x+jbbdH+PbgLrQqBP0CTITKQXzi1FM9UjqZNf8jXxHl1c5C/P3TI3Zf2VmgAAIABJREFUp0CjrLm++2K03dUbT3TzcyRmby56wZ+gSsAV6b0p1nR6+GDXBn1SBty+cF3baU6BxllztTcW6ok3vN2R21sIk2ToE9RJ6R7o9WbzxZuqHVquyeS8vt2MAo2z6qrvDWwMuBH33ntDChKhT1AnUAtUQ6CHteyuj2sy3zouzzybQGOtutoCNcXz06e1QMdS4U/QJ8g9UPE2SA0ODdldE/R++5ht5mYSaLRVV0GgjRiGePveu0r8oVSDydAnTEGY5ezenm3u/ew7/vMgy90PiQk02rqr4c9hge6bnzrhh9P1J0SfMA1BuvA/XfxFvo3RgZ0syydG2789/FPVb981RuMXaMR1V0WgtSjteP76dMhjv0HxJ0xEoIdIGwWBVrsjN3C9OTCHQCOuuzr+7BXoxrv33gkpSYo+YTKCCPTbh00eyQR62xm0dPfN4FN400Imonf2IebKqyTQY5xGQA19uuXRlBZ9woSktKVHsTPdn44P3Yv5nEMP4SMQaNSVV8ufh85zI6CKPl0F2k7c1mdsHwEkTkoCzT431xLNbw04jtAPLdC4K6+aQDODQHX06ZjHtkHRJ0xLUgLNdm3OpkBd90gOLNDIa6+eQHeh8ub9MWCuT6XAjslrJ6BPmJpwAv10lS8psnVfgq6X7T+dt5gPKtDJa6/3NHadbOzYFALN/yle3qj5032tz4NB6b3D9IQS6NsH5dP3z9+4NhpVCSnQiWrvaR3PSEpZ2lTyLCyqqk9JHqvrgj4hAIEE+mI/fOkwmHMeAgo0hD+9FKjXAG0IdKOoT+mOcd0tO/Qa2wA1wgj0Ol/G8+/5/cv8SbrT7HVdggl0qtZP05leClVtgOb2LPypqk9pJjv6xJ8wDUEEmq+f9P2u8Zk/ADosCTILoQQaxp9eBtVtgFZZ0ey95+BPiJsgAr0s5guVAs2Hw+vtyhnpXPhQ/jQfso3lm5s91fDaXU6Uhi4dkWSSm58QjoALKlcC3TVH9frwUQp0Qn0aN8EUmVDXn6VAxUvO9+KeS/QJIQm4oHIlUNUt5mIUaFh/SrvxmmOYiqt6k7dAM12B4k+InMQFmn364DSwNIBAA3bfj7+RDPbxy06NQpo3N0Uu5hUo+oTAJN6Fd2VygU5WgQcl6W5Qzecq1bP36jG84iV2zCT6hOCEeoh0fhCozvL0QqYW6Dz+FPhQVaDls/e5BYo/ITxBBHpbjaHPBXq7WfAwprn8KZnxKM9Mm/LZe20qkhYumUSfMAdBBJqP/Tx5ngt0+4+N90D67Yffrq6uXn2QRJlUoBPW4FGVOHbiFf253+59L1C1wC6ZRJ8wD2FmIjXWpPeayvn+WS3S49fOmZtQoHP609WgagKtRs5XAt1oNmztM9nWJ/6EUASaC1+shVzis5jI3ZPW8sj3HGU8nUAnrcI2KplFoIeJR5v2enb+iP2plwWAEYItZ3f3LF+P6cS90Vjj9iyvpA8vSh4UzVm3+6mTCXTSKmy7r69ywEHay4aY1qT3wzIU+oQZSWlB5WIF+ue1A+/OXDeom0qgE/tTY2P0ZlJ5bgr2+jzOez8IVG+bEJtU9N5hVlIS6HVHl5+HN5XrMo1AJ67D9huja0fso7tqnXlbOR+sAqFPmJdwAt2+v7q6+uAR2LSO063jM/1JBDpxHdb3oqfkTIt+9m8NL8UiDvqEuQkl0Hf7xz+PxM+QTHNAY5gLP3UldhGoXVIvx3V7782Q6nvN94E+YX7CCLT2EN6xz10jToFOXon9tvX1jdjGrM9GSB2DjkbBnxABYQR6mT8v//N/XP3Xv3gYtJpS32D2Lvz0lVh/eJLccD36nECgY0HQJ0RBqKmcm69Lz21fyEfSX3ZsmbdsnSbWaxc3Mn9OMGK0Tv+OR62NRoTxrWOgT4iEgCvSm144ke8M8lX9Furdj6421i1ugFrsOizIIr3UbwMbxjVDKggUf0IaBFoPtKY5j+Xsrouh8xc/X+X8Wo6kP3fLnGZxQ9TiCZZZkvmtt/duCOlv0KEI6BPiIeCCysZXbrw9a03lPPneMXOKxY3Sn1brjrjnYzPQ/OyG9B9N3x8AfUJMBFpQWUmg2fZlXaEnT12bsnrFDVONJxCoIOSIPrshfQXae35bn/gT5iXIPdDr+gh43105t++vXl5cXDy9ei24EaBW3Gj9OXqSe8wxfxpCehq073T0CZERRKCfn2y+2D/8aTZHQ6NV3FD+jECgo/o0C9THoD0no0+IjkAD6Z/t71bePfFbD9QTneKGqsdCCw2e5hhzI/KnZxPUfDL+hPgI8hDp24cP82r4Zfmfk4clj2ZoiKoUN1g9nl2gNvrsCelhUOOp6BNiJNBTeBNz9OQ1ihu7P4dPdAi6sfNnn0DFBjWdiT4hShCoIwEr8hQCdfbnqD77QmrmHn1CpKS0HqgC3sVNwZ9Dp1oHtW1+9oeU5r97Hv6EWEGgToSsyVMI1DamvT7VBdo5DX1CvAQZSP9K+z3E+BU3bE32eZDtJ7WaPuX+lBagdRYPjyBmAt0DfeSzl5wiXsVNx59+AnVpfg4LVFCEYX+6xwOYknAPkbz249TCp7iBq7LfZB7z2TYx3fSp9cTqeEr9HJqfEDlB7oFW+3mcPPbYEl4HeXFD1+RJJkOOB3XqvY+GdC/EkD9dYwFMTqCHSNuXD6rlP37Xfj8nxMUNXpUnWY9jLKizPkcF6liKenqanxA/AXflrBz6pfMSSopIixu+Kk8h0JGYAn2OxfQQKPqEBAg6jOlTtRjdvedzOVRW3Bmq8iRrEg8HlehTefG8Y2r0CUkQehxo5VD3lTx1EBV3jrqsIVCnReZE+rQRqEtB9onpvUMiBBbou2f7iZzzrMkkKW6a/nRb5lioT6v17+2L0uNPtxwBBCSkQN99W3Xg3z+by6DuxZ2nLmsItBOkN6hYnzb5tC9K5Vqan5AOwQRatT2rvrvzfsRKOBd3procUqByfdrl07osRn86ZwkgIGEE+r7quR8Hgn48S2I1ppT92Q4z6k/vd+hLY1eaIhnNT0iKgMvZ3XvePBa/QGery+EE6qVPy3xaGjRPhT4hLUIJtP3YfXdMuju8D07FTd2fzUCmoD69976YxmR2PX30CakRRqCGOZwftN/XCpfizlebAwnUV5/2GbUw6OkpvXdID9YD7WHOyqwm0HqkdlB/fTo9YB9NgD4hQRComWX4sxbK6E8vfTpldGzGJ81PSBIEamLe2qwo0GOsZlANfTrlc7ATT/MTUmVagW5/ujDx3WzLiUgEOnGWOmj68yiuRlQNfTpmdMCgND8hWaYVaET7cVaZcxfoxDnqoirQfbR2A9Rfn+4LhfRt34k+IVkQqIlZq7OuQHfh8kveDKqhT8FSdcYl9tAnJMzEXfjfrkp+Pduc/Hy151UyXfiJs2NEV6CbvUCPJVfRp2y5+bEtN/EnpEWgh0gzTTzq4CjQiXNjRNWflTtLi5aHlPQp3fGoeRb6hLRBoEZmrM7TCTQvu5o+xZsWH59q8fAIkgeBxoamQMtbzruIpUBv9PQpz+fpAfQJyYNAI0O9AVq1+pT16ZFRsz7xJ6QIAo2MCQSaK0vZnv75RJ+wBBBoZKj34IuYhT5VC++XT/QJywCBxoXyGKa8vDc3uUD3rVEtfDJK7x2WAgKNC22BFk3P4sm3rkAV/amXKYDQINC40BVodeezfIgUiUBpfsKCQKBRoenPm+rG53EYk17h1fypliOAOUCgUaEm0JuDPotR9IeB9EpI80nzE5YFc+GjQkmgh0FLe4EW/1cJXSLMJ/qEhcFqTDGh4s/mkM9qGmd9MRF/ZPlEn7A4EGhMKAi0M2J+Y1rPzhNJMHrvsEACdeGb0IXvwddyhxuf3ZiT7BPiAPqEJcKeSBHhKbnacyND0Em2qrOF5icsEwQaET6Oq9lzaoF6+1MrIwBzg0AjQu646s7ngD8VDeoaiOYnLBYEGg9Sw+2fGxn0GYNA0ScsFwQaDzLDDeqzEVTJoG5h0CcsGQQ6BTJTCQTXHDE/7M85BErvHZYNAlVnv2OF+3muZ4zqsxVUxaAe/lR4d4CoQKCqnDZxPNcpeW3EfK8+WzEDC5TmJyweBKpHU5vOEnXR242VPjsxFQwq9qf3OwPEBwJVo6tLJ4M6yK0+XXNIn3MKlOYnrAEEqkWPKq0NapuuMdm9/+anOaa3QYX+9HxXgEhBoEr0itLWoHbJXPQ5n0DRJ6yEBAW6/ZAvUfLqg2RFkskEOqBJO4NaJWotVDeiT6NAPQ1qcz69d1gNqQn0/bPasniPX7uePpVAB8VkdSPUIklzobpxfZpiegpU4E+v9wOIm7QEevektbLovV/cAkwk0BFD2hh0NIWzPs0x/Qw6fjbNT1gTSQn09ix3xsOLkgf5i5MfnCJMI9BxP9qkGPy1QJ/mkF4Cdfanx3sBJEBKAs3Xtz95Xjvw7sx1dftJBGrXQx9OY+HPwwuLm58DMX0MOnYuzU9YGSkJ9Lqjy1yp5y4hphCo7UOikV7+wC9F+uwXqNigjv6Uvg1AMiQk0O2Pm027w3672Xzl8jR+AoHaD1MaSjf0S0HvfSjkVAJFn7A+EhKoaW951/3m9YvrMtWoP+XAr4T6HIgpNejgefTeYY0gUE90Jrv3/8o08tPz3aYQKPqEVZKQQHdd+JP2qKXZu/BOMnJ3muPAecucyQw6cBbNT1gpCQk0u+zYMr8tet8lhHZx3Z7IDEz3NB93mbZpG3P4V5KA6BNWS0oC/Xi2M+ib2oG7nT87jdJB9AXqmNycvuewtPc+mjOJQfEnQIeUBJqPY9oZ8+Lnq5xfy5H0504RlIvrLCIXgRqan1pZE62Xbz4FfcKaSUqg2duz1lTOk+/dAswtUIfZQbZLfoqyprXhCPqEdZOWQLPty7pCT566rsikW1xBT9jYkDMc6+pT05/uWcefAAYSE+iO7furlxcXF0+vXgvWs1MtrmhOj+mk7qHOfh2u+Q4hUPQJqyc9gXqhLFCdszpHvPVpkTW3zBtSo08ABCpHbTx6+4DVdnG+eXMdgNU60NYn/oRVkq5A31+9+t35JMXiihfl6JzYeu2vTyu5e20Yij4BcpITaLmTR/Uw6d7zkdRtVAUqP/O09br2Yt/89NGnXd7sC9DOMPoEKElLoHf5hh75KvSXe7987RZAr7h6y2qa/Cm++emSOYdlUOqv6L0D7ElKoB/LMUwnv9zu/n10cXE240B6vZXd6y9U9GmbN9l+oegT4EBKAs2XT948fLBrgz4pZ3BuX8w2lVNxa6Hai6Y/dcIPpnNuqaJPgBopCTRfkf5N1Q4tV1bOFxM5dwmhVVzf7YFrpx9/LLvv3voU983HE6FPgAYJCfSwIv31cVWmuZaz8/RnXcCHnwp/KuhTaYnSY5JDGvwJ0CQhgR4WT941Qe+3j1miVFxff9Yj7H/San46CnQs7TEF+gRok6JAdz8kL9BDiIY/MwV9uuVufLfQ6vfoE6BLWgItnxht//bwT1W/fdcYnUGgCv7MzVTIsopVG/3pH1kv9d6fDF0CMJGQQPPBn+etQ9ezrEivIdDsINBNa+M4/8Bqyfv86ZM9gAWRkkBvO4OW7ob3hd8YUMiHhj9LdVb/zOnPoU589Sv0CdBDSgLNH8Nv/nR86F7M5xx6CJ+IQDX1KVolv3ed/Pw4vXeAXlISaPb5yaZ+yzMfWO82jl6luEr+LG9/7gS68+e8i+ydmhVq9qdCDgEWQ1ICzXZtzqZA773pT2xCobi+Y+irfOxyUogr777PvsieyaDFIfQJMERaAm2y/aejPpUE6h1i/7S9EqjOjYUKYfY6Cs1fo0+AYVIWqIDQg4R6s1FKMxeoytClA+Ls1frxpyX4E2AMBOqIikCzypmFs+IQ6MGbe9AnwCgI1A0df1bSvIlKoEeFZtz8BLACgbqhKdCbXKCnWoOrCpSyx9AlACsSF2joufBKgioEelMK9DQ+gaJPADsQqBNaAs0qf1bD6ZWC6mQPfQLYgkBdUPNnVgyf389F0gqqkT967wD2JC7Q7NMHp72NoxFoMfyzEqha0An8qZArgOWSukAdCbbU+wjl4vPl/c+IBIo+AZxAoPb4thWPT4vK5UPaayr74hsHfQI4gkDt8RNUbTGoavml2swfn8AHPMPgTwBXEhTo9sNvV1dXrz64bCa3Zz6B1lbT2y9fd4inY1C/IOgTwJ3UBPr+WW1tz8evXU/3Ka6PoDZD/lRb4l5+LvoEkJCWQO+etJZHvue2HOhMAm0s5nxYPrkeT2eXJemZDF0CkJGUQG/Pcg09vCh5kL84+cEpgkdxxX7amP3ZEqjiRsmuoE8AISkJtFiB/nntwLuzjds4+hkE2tpLpLZ9RyPgfAJFnwBiUhLodUeXn4c3lesiL66nP/eve/zpb1Dh+fTeATxISKD5nnLtDvvt8K5yHQILtLOTXW37OMMK8D7ITkefAD4kJFDTvPdwc+EFgupuBHrTL1DPJqjobPQJ4AcCtcNdUIaNlIf86b0WsvMp6BPAl4QEuuvCdzYxDtaFdxWUQZ8NfxoF6rMdh/Mp+BPAm4QEml12bJnfFr3vEkJaXKk/68ca/jRFDClQ9AmgQEoC/Xi2M2h9J+O7nT87jdJBwgjUpM+WP40RPbbUdEuPPgFUSEmg+TimnTEvfr7K+bUcSX/uFEFYXCdBGfVp4095J97tPIYuASiRlECzt2etqZwn37sFmF6gppufWcefPRGFAvXzp+gtASBLTaDZ9mVdoSdPXVdkmlqgPfrs+LMvosigTg1X9AmgR2IC3bF9f/Xy4uLi6dVrwXp2suI6+7N9vOPPfoEKDOpwDr13AE3SE6gXkwq0T5/2/hQ1QT386fxeAFAHgY5jZ6hefRr8ORDS3aDWZ6BPAGUQ6Dg2huq7+ZkZ/TkoUEeD2qZHnwDqINBRXPxp+JWbP52boLbCxZ8A+iDQUcYNNaBPoz+HQ7oZ1C41+gSYAgQ6xqihhvRp9ueYQB0MapUWfQJMAwIdY0RRAzc/sz5/jsR0MKhNUoYuAUwFAh1jUFHD+pT508WgAn9aRgaAcRDoCFb+7Pl1jz/HtWdr0PFk6BNgQhDoCAOOGten2Z8W3rM06Ggq/AkwJQh0mH5FjejTy5+WD4fGEqFPgGlBoMP0OWrk5md/930gpmuisWYq+gSYGAQ6jNlRo/oc8qetQD1vlKJPgMlBoIMM+7P/vCF/Wo59H/HjKf4EmB0EOohJUuP61PDniEFH/Ik+AUKAQIcwSMpCn8P+tJ+qOeBImp8AMYBAh+hoavzmZzbmT4e57r3NTJqfAFGAQIdoecpKn3r+LA1q2v4YfwJEAQIdoMefwyeN+NN5saWOLYf9iT4BwoFAB2iIylqfw/50XnK+rVCanwDRgED7Mflz5JRxf4r27GjSnxJ9AgQFgfZjEOjIGeP6FG9cbOHP/4k/AcKCQI2pCjoCHTvPwp8ygVqBPgFCg0BNiSp/OhbFxp+TCZTmJ0B4EGg3yVGgTmWJyZ/TvAkANEGg3SRHfzpcHYvHRznTCJTmJ8AsINBOisqbpUBtS2Ppz2kEij4B5gGBdlJUaZwEaqnPSfyJPgHmAoF2UpRpctVZC9TWn1MIFH8CzAYCbSdwF6ht9z2bQKDoE2BGEGgnReXPnRTtBOrgT3WB4k+AOUGgnRTVI6SdFq0E6qBPbX+iT4B5QaCdFMcmaK7Q4dQ3Ls1PbYHiT4CZQaCdFKVCT083o3a8cfSnqkDRJ8DsINBukuM4+iE/OttT1Z8MnQeIAATaTVIzaO8TIoE+NQWKPgFiAIGaEtWmwt/ctFx50zlijZZAaX4CxAECNaaqL8Z0Y0Ty7koCRZ8AkYBA+2jazlOdhohSaH4CRAMC7UV91pBKQPQJEA8ItJcYBYo+AWICgfaiLVD8CbA0EGg/ygb1Doc+ASIDgfYTmUDxJ0BsINB+dAXqGQ19AsQHAu0nJoHiT4AIQaADqBrUJxj6BIgSBDqApkA9YjF0HiBSEOgAcQgUfQLECgIdQtGg0lA0PwHiBYEOoSdQJX9qZQcANECgQ8wtUJqfAFGzOoE6USyqrIIoUkufWnkBADXUHaUdUBPXi6NlUEkc9AkQP+qO0g44C/rXZUaWVJgllYXCRMuMhVnGZeTbEClLKguFiRYE6gnfhkhZUlkoTLQgUE/4NkTKkspCYaIFgXrCtyFSllQWChMtCNQTvg2RsqSyUJhoQaCe8G2IlCWVhcJECwL1hG9DpCypLBQmWhCoJ3wbImVJZaEw0YJAPeHbEClLKguFiRYE6gnfhkhZUlkoTLQgUE/4NkTKkspCYaIFgXrCtyFSllQWChMtCNQTvg2RsqSyUJhoQaCe8G2IlCWVhcJECwL1hG9DpCypLBQmWhCoJ3wbImVJZaEw0YJAPeHbEClLKguFiRYE6gnfhkhZUlkoTLQgUACA9ECgAABCECgAgBAECgAgBIECAAhBoAAAQhAoAIAQBAoAIASBAgAIQaAAAEIQKACAEAQKACAEgQIACEGgAABCECgAgBAECgAgBIECAAhBoAAAQhAoAIAQBAoAIASBAgAIQaAAAEIQKACAEAQKACAEgQIACEGgAABCECgAgJBEBLp9+XCz2Xz5+M3x0N2zs83mpH4k5/M3X/zr+Oq9Mc3c2BTGusAzIyuL4awYEH4wBR/PNj+EyKM1wsJs3+aHHn7/R7CM2iAsTID6n4ZA3+6uQ8nX7UMnf60n3P64OQp0+2J/1nnAvI5iUxjrAs+MrCyGs2JA+MEUfP5mE5dAhYX5uD9071+dkPMhK0yQ+p+EQG83R+53DtW+t9vLTU2gl8c054FzPIBNYawLPDOyshjOigHhB1NyGdXnIi7MwZ+bzVfxtEGFhQlS/1MQaP7X/d7r3Q/vn+z+4vxyOPSmPFJrcv64qb3Mvwx56/3ux/1ZMWBTGOsCz4ysLIazYkD4wZTcHmtyFHh8y06+z3vDZxE1OoSFCVP/UxDo7eFvSm7I4sfr/V/I/Mh5le5d8efzoJfr+p+i8ywSbApjW+C5kZXFcFYMCD+Ygrz6RiVQ+besqj63ETVB5YUJUP9TEOjl8bu5+6uSX7jdRdr/TamO7P7Q7P70bB4/OQr08pDmNqJ6alMYuwLPj6ws3SNRICtMQX7n/f+MSqDe37Laj7Mj/GTC1P8UBFpj96c+vzjVf3IO1/I6733UHyLFKdAaA4VxShMDDmUZPBIFroXZffV+uI5KoDUcCrNTT4z1pIbLJ4NADVQXp35F9n97rk++/qPxFL7RhI/xyz1QGKc0MeBQlsEjUeBYmJ13zrPYBWr5LTsPnT03XD6ZMPU/MYHeHm6jne8P7b+5n/KLVhdofmOquIn8LKL7OXUGCuOUJgYcyjJ4JArcCrP7zu2+XlF+KjkOhSmOF+Mrv/w+bCZtcflkwtT/tAS6uyZFs7x+0Rp/NhvjQIu7ogVRDWrbM1oYyzQx4FKWoSNR4FiYsqsYq0BdCpOX5HopVSZQ/U9KoPkwz/0DNguBFgMYch7H2P4cL4xdmhhwKsvAkShwLEz1m0gF6lSYnUD/chg6Gc1guSOuX7MQ9T8lgR6HydsJ9PrwZTiJr0diURirNDHgVpb+I1HgWJjaHbcIBepUmGIYddHr/fRiE+HfNtevWZD6n5BAt8cBsVYCza/f179X34bYvtyWhRlNEwOOZek9EgWuhbk01OlocCtMIdDzQ5LYPhzXTyZM/U9HoHdPGtdmVKC12clvo2vq2BTGqsAR4FqWviNRIP5gYhSoa2Eua09bohvr4VqYQPU/GYHmawUc7gX3PoWrCTTmkT82hbEr8Pw4l6XnSBS4FuY4cjKyTyXH+ZOpz9iJ7c+0pMqEqP+pCLRojx/uBfdenJpA69/o67i+DTaFsSzw7LiXxXwkCpwLc7zNNvWiFe64fzLX8QpUVJgQ9T8Rgb5ofjl7ZyL0CDSub4NNYWwLPDeCshiPRIF7YSIWqOCTqXsprjaHoDCB6n8aAr1u3S/rnRqeQhfepjDWBZ4ZSVlMR6JAUJh4BSr5ZHa/qE2ETrzK0IU/srsWXzRXle5bnKgm0Hw1qx8O58dTYW0KY1/geZGVpXskCmSFqaWNRzjSwuRjKMs/zlE9dxUVJlD9T0Gghgkr++X/2stjNhcTqQ1jiGZQm01hHAo8K7KyRD7/qHlo9IPZE5dAhYXJpZOn+RTVPRZhYcLU/xQE2uwnldepsyJ1SXsu/J54HvjaFMahwLMiK4vprAiQfjDH06P5XOSFqR2L6j6RpDBh6n8CAi0nSLS/tv+22BPpcGI8XwabwrgUeE5kZTGfNTvyD6YkKoH6f8simv4sLkyQ+p+AQOt/SWpfW+Mmlc258Nn7b4s0rwPmdgSbwrgUeE5kZek5a248PpiCqATqUZhPLx/sXjxaRpUJUP8TECgAQJwgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkAhaj6ebb76o/zxdrM5z/+7fftws9k8ev7HPs2nl/mBk0fPy5eXuzPePdileLNP++XT34NnHFYBAoWo2f64Ofml/PGy/Gmn1JJ7b8rj15s9pWp3An2bv9qlPqQt1QugDAKFuLney+/zN4Ugj07cfPGvKsGmocnLzZdFmvv5KQd+mK0EsGAQKMTNoQ9f9uBzJ95OVY3gAAAC6ElEQVR7nvfNz3JFlge+znvo759UTdDLvC1atE53br33evffux83hxsBAIogUIicy0NLM+/B3x5UuDNndeB+mXCn2iLl5SHJ5b7huf2xCgKgCgKFyLktLbhzYK7Fy8Mt0cNDpT07o+4FWh2/3jdFAaYBgULk7LyYNzF37cvzw43Qgt2R+4dUn3776WxzEGh1w/O2eJb05/+g9w4TgUAhdso+fNmDrz8W2j923777dv9gqRLooZF6WR0/YRwTTAIChdgp+vBVD772DH4v0PqhtkC3LxnHBFOCQCF2ij582YOvj6s//jYfKv/ou5//xzcdge549wyDwmQgUIievA9f9uAPD4qOXB9G1H82CnTHp1+fbRjHBFOAQCF6Pp6d/Jcfq/udP7aGxNdmKt22u/C1wUtd8QIogEAhenYi/F+/qbrguwbnF8cpnOc1gd5907kHehzQhEBhEhAoxM/15suzSor5Lc+T73eN0U8vitnuuSTzLnz5uKhIdFlvkx5nKd3viw4gBoFC/OQP2mtrMjWmvtdftwV6GMZ0mDgPoAoChfjJ73ye71/ctkYmvTiM9azuj9aHMf24T3vvl05UAG8QKCRA48H69mVzjc933xYv/9hPi28kfv8s921t8VAARRAoxE99AidARCBQiJ9rhsFDnCBQiJ53ZzwCgjhBoBA3t8zDhHhBoBA3xVoh3AGFOEGgEDefn2w2X+NPiBMECgAgBIECAAhBoAAAQhAoAIAQBAoAIASBAgAIQaAAAEIQKACAEAQKACAEgQIACEGgAABCECgAgBAECgAgBIECAAhBoAAAQhAoAIAQBAoAIASBAgAIQaAAAEIQKACAEAQKACAEgQIACEGgAABCECgAgBAECgAgBIECAAhBoAAAQhAoAIAQBAoAIASBAgAIQaAAAEIQKACAEAQKACAEgQIACEGgAABCECgAgBAECgAgBIECAAhBoAAAQhAoAIAQBAoAIASBAgAIQaAAAEL+f/5D4PzpMmzQAAAAAElFTkSuQmCC" width="672" /></p>
<ol start="3" style="list-style-type: decimal">
<li>Comorbid HIV and Hypertension</li>
</ol>
<pre class="r"><code># Comorbid HIV and Hypertension modelling
################# Enter prevalence estimates and forecast period for comorbid HIV and Hypertension (HIV+HTN) #####################

# Define the emulation period / number of years on the x-axis 
x &lt;- seq(2018,2028,l=11)              # in this tutorial, start year for the inMODELA simulation model was 2018
                                      # in this tutorial, end year for the inMODELA simulation model was 2028
                                      # in this tutorial, number of years forecasted = 11 years

# Define the prevalence estimates (based on simulation model(s) and/or the literature) on the y-axis 
y &lt;- seq(0.0206,0.0131, l=11)         # in this tutorial, HIV+HTN prevalence estimated from the inMODELA simulation model in 2018 was 2.06%
                                      # in this tutorial, HIV prevalence estimated from the inMODELA simulation model in 2028 was 1.31%
                                      # in this tutorial, number of years forecasted = 11 years

# Look at the trend(s) in HIV+HTN prevalence over the forecast time period
plot(x, y,
     ylim=c(0,0.2), xlab=&quot;years&quot;, ylab= &quot;HIV &amp; Hypertension Prevalence&quot;)</code></pre>
<p><img 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" 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<pre class="r"><code># Look at how A linear model (LM) would fit the simulation data.
lm_mod &lt;- lm(y ~ x)
plot(x, y, xlab=&quot;years&quot;, ylab= &quot;HIV &amp; Hypertension Prevalence&quot;)
abline(a=lm_mod$coef[1], b=lm_mod$coef[2], col=&#39;red&#39;)  #The LM is insufficient for describing the underlying function producing the data.</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Instead of a linear model, use a Guassian process (GP) model that assumes that the distribution of points follows a multivariate distribution.
# This emulator uses the GauPro R Package: https://cran.r-project.org/web/packages/GauPro/index.html


# inMODELA simulator HIV+HTN Prevalence confidence intervals
l = c(0.0179,0.0173,0.0164,0.0158,0.0151,0.0144,0.0138,0.0132,0.0126,0.0120,0.0114)  #For each annual prevalence estimate, define the lower bound of the 95% Credibility Interval from the simulation estimates
u = c(0.0232,0.0224,0.0212,0.0203,0.0195,0.0186,0.0179,0.0170,0.0163,0.0156,0.0148)  #For each annual prevalence estimate, define the upper bound of the 95% Credibility Interval from the simulation estimates

library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed</code></pre>
<pre class="r"><code>gp</code></pre>
<pre><code>## GauPro object of GauPro_Gauss
##  D = 1, N = 11
##  Theta =  1 
##  Nugget = 1e-06
##  Run update to add data and/or optimize again
##  Use pred to get predictions at new points</code></pre>
<pre class="r"><code># Look at how the GP model fits the simulation data.
plot(x,y, xlab=&quot;years&quot;, ylab= &quot;HIV &amp; Hypertension Prevalence&quot;, main= &quot;Projected prevalence of HIV &amp; Hypertension&quot;,type=&quot;b&quot;, lwd=2)#,
curve(gp$predict(x), add=T, col=2)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4)                      #Blue lines visually depict the CIs for emulator&#39;s estimates.
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)
lines(x,l,col=&quot;yellow&quot;,lwd=4)                                                       #Yellow lines visually depict the CIs for simulator&#39;s estimates.
lines(x,u,col=&quot;yellow&quot;,lwd=4)</code></pre>
<p><img 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" width="672" />
4. Depression</p>
<pre class="r"><code># Depression modelling
################# Enter prevalence estimates and forecast period for depression among people living with HIV #####################

# Define the emulation period / number of years on the x-axis 
x &lt;- seq(2018,2028,l=11)             # in this tutorial, start year for the Smit et al. simulation model was 2018
                                     # in this tutorial, end year for theSmit et al. simulation model was 2028
                                     # in this tutorial, number of years forecasted = 11 years

# Define the prevalence estimates (based on simulation model(s) and/or the literature) on the y-axis 
y &lt;- seq(0.039,0.037, l=11)          # in this tutorial, depression prevalence estimated from the simulation model in 2018 was 3.9%
                                     # in this tutorial, depression prevalence estimated from the simulation model in 2028 was 3.7%. This was calculated by averaging the prevalence in 2030 and 2025 to maintain consistency with the inMODELA simulator.
                                     # in this tutorial, number of years forecasted = 11 years

# Look at the trend(s) in depression prevalence among PLWH over the forecast time period
plot(x, y,
     ylim=c(0,0.04), xlab=&quot;years&quot;, ylab= &quot;Depression Prevalence&quot;)</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Look at how A linear model (LM) would fit the simulation data.
lm_mod &lt;- lm(y ~ x)
plot(x, y, xlab=&quot;years&quot;, ylab= &quot;Depression Prevalence&quot;)
abline(a=lm_mod$coef[1], b=lm_mod$coef[2], col=&#39;red&#39;)   #The LM is insufficient for describing the underlying function producing the data.</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Instead of a linear model, use a Guassian process (GP) model that assumes that the distribution of points follows a multivariate distribution.
# This emulator uses the GauPro R Package: https://cran.r-project.org/web/packages/GauPro/index.html

library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed</code></pre>
<pre class="r"><code># Look at how the GP model fits the simulation data.
gp</code></pre>
<pre><code>## GauPro object of GauPro_Gauss
##  D = 1, N = 11
##  Theta =  1 
##  Nugget = 1e-06
##  Run update to add data and/or optimize again
##  Use pred to get predictions at new points</code></pre>
<pre class="r"><code>plot(x,y, xlab=&quot;years&quot;, ylab= &quot;Depression Prevalence&quot;, main= &quot;Projected prevalence of Depression&quot;,type=&quot;b&quot;, lwd=2)#,
curve(gp$predict(x), add=T, col=2)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4)
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)</code></pre>
<p><img src="data:image/png;base64,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" width="672" />
5. Plotting the above plots together</p>
<pre class="r"><code># COMBINING THE ABOVE PLOTS


################# Combine GP plots 1 - 4 #####################
line = 1
cex = 1
side = 3
adj=-0.05

# To save the comined plot as .tiff format

# tiff(&quot;D:/inMODELA TRAINING/CONSULTANCY 1/BMC medical journal manuscript review/Plots/Figure2.tiff&quot;, width=12, height=10, units=&quot;in&quot;, res=300)  # Adjust width, height, and resolution as needed

par(mfrow=c(2,2), oma=c(1,6,1,1))

# To include more options use the below line
# par(mfrow=c(2,2), oma=c(1,6,1,1), cex.lab=1.5, cex.axis=1.2, cex.sub=1.2, font.lab=2)
### PLOT 1
# HIV
x &lt;- seq(2018,2028, l=11)
y &lt;- seq(0.0481,0.0255, l=11)
# The simulator&#39;s confidence intervals
l = c(0.0419,0.0395,0.0373,0.0351,0.0330,0.0309,0.0290,0.0271,0.0254,0.0238,0.0220)
u = c(0.0543,0.0512,0.0483,0.0455,0.0430,0.0402,0.0378,0.0354,0.0333,0.0312,0.0290
)
# Fitting the gaussian process
library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed</code></pre>
<pre class="r"><code># Plotting
# Run the following lines of code together
plot(x,y,xlab=&quot;years&quot;, ylab= &quot;HIV Prevalence&quot;,type=&quot;b&quot;, lwd=2, pch=16)#,
curve(gp$predict(x), add=T, col=2, lty=5)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4)
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)
lines(x,l,col=&quot;yellow&quot;,lwd=4)
lines(x,u,col=&quot;yellow&quot;,lwd=4)
mtext(&quot;A&quot;, side=side, line=line, cex=1.5, adj=adj)

# PLOT 2
# Hypertension
x &lt;- seq(2018,2028, l=11)
y &lt;- seq(0.2947,0.3430, l=11)
# Fitting the gaussian process
# The simulator&#39;s confidence intervals
l = c(0.2845,0.2908,0.2965,0.3017,0.3073,0.3125,0.3171,0.3213,0.3250,0.3284,0.3313)
u = c(0.3050,0.3116,0.3177,0.3232,0.3292,0.3347,0.3396,0.3441,0.3480,0.3516,0.3547)
# Fitting the gaussian process
library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed</code></pre>
<pre class="r"><code># Plotting
plot(x,y, xlab=&quot;years&quot;, ylab= &quot;Hypertension Prevalence&quot;,type=&quot;b&quot;, lwd=2, pch=16)#,
curve(gp$predict(x), add=T, col=2, lty=5)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4)
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)
lines(x,l,col=&quot;yellow&quot;,lwd=4)
lines(x,u,col=&quot;yellow&quot;,lwd=4)
mtext(&quot;B&quot;, side=side, line=line, cex=1.5, adj=adj)
# PLOT 3
# Comorbid HIV and hypertension
x &lt;- seq(2018,2028, l=11)
y &lt;- seq(0.0206,0.0131, l=11)
# Fitting the gaussian process
# The simulator&#39;s confidence intervals
l = c(0.0179,0.0173,0.0164,0.0158,0.0151,0.0144,0.0138,0.0132,0.0126,0.0120,0.0114)
u = c(0.0232,0.0224,0.0212,0.0203,0.0195,0.0186,0.0179,0.0170,0.0163,0.0156,0.0148)
# Fitting the gaussian process
library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed</code></pre>
<pre class="r"><code># Plotting
plot(x,y, xlab=&quot;years&quot;, ylab= &quot;HIV &amp; Hypertension Prevalence&quot;,type=&quot;b&quot;, lwd=2, pch=16)#,
curve(gp$predict(x), add=T, col=2, lty=5)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4)
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)
lines(x,l,col=&quot;yellow&quot;,lwd=4)
lines(x,u,col=&quot;yellow&quot;,lwd=4)
mtext(&quot;C&quot;, side=side, line=line, cex=1.5, adj=adj)
# PLOT 4
x &lt;- seq(2018,2028, l=11)
y &lt;- seq(0.039,0.037, l=11)
# Fitting the gaussian process
library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed</code></pre>
<pre class="r"><code># Plotting
plot(x,y, xlab=&quot;years&quot;, ylab= &quot;Depression Prevalence&quot;,type=&quot;b&quot;, lwd=2, pch=16)
curve(gp$predict(x), add=T, col = 2, lty=5)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col = 4)
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col = 4)
mtext(&quot;D&quot;, side=side, line=line, cex=1.5, adj=adj)</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code># dev.off()  # Close the TIFF device</code></pre>
</div>
</div>
<div id="bayesian-posterior-predictive-analysis" class="section level1">
<h1>BAYESIAN POSTERIOR PREDICTIVE ANALYSIS</h1>
<ul>
<li>This step provides posterior predictive distributions that can be
used to analyze the credibility of future observable data based on the
posterior distribution.</li>
<li>The procedure is implemented via the Bayesian inference rstanarm
package</li>
<li>A detailed guide of the posterior predictive analysis can be found
here:</li>
</ul>
<p><a href="https://cran.r-project.org/web/packages/bayesplot/vignettes/graphical-ppcs.html" class="uri">https://cran.r-project.org/web/packages/bayesplot/vignettes/graphical-ppcs.html</a></p>
<pre class="r"><code># Combination
side=3
line = 1
cex = 1
adj=-0.05

par(mfrow=c(2,2), oma=c(1,6,1,1))


set.seed(1234)


# PLOT 1
# HIV
x &lt;- c(2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028)
y &lt;- c(0.0481,0.0454,0.0428,0.0403,0.0380,0.0355,0.0334,0.0313,0.0294,0.0275,0.0255)
# R stanarm
sm1   &lt;- stan_glm(y~x, family=gaussian(), data = data.frame(x,y), seed=1234)</code></pre>
<pre><code>## 
## SAMPLING FOR MODEL &#39;continuous&#39; NOW (CHAIN 1).
## Chain 1: 
## Chain 1: Gradient evaluation took 0.000126 seconds
## Chain 1: 1000 transitions using 10 leapfrog steps per transition would take 1.26 seconds.
## Chain 1: Adjust your expectations accordingly!
## Chain 1: 
## Chain 1: 
## Chain 1: Iteration:    1 / 2000 [  0%]  (Warmup)
## Chain 1: Iteration:  200 / 2000 [ 10%]  (Warmup)
## Chain 1: Iteration:  400 / 2000 [ 20%]  (Warmup)
## Chain 1: Iteration:  600 / 2000 [ 30%]  (Warmup)
## Chain 1: Iteration:  800 / 2000 [ 40%]  (Warmup)
## Chain 1: Iteration: 1000 / 2000 [ 50%]  (Warmup)
## Chain 1: Iteration: 1001 / 2000 [ 50%]  (Sampling)
## Chain 1: Iteration: 1200 / 2000 [ 60%]  (Sampling)
## Chain 1: Iteration: 1400 / 2000 [ 70%]  (Sampling)
## Chain 1: Iteration: 1600 / 2000 [ 80%]  (Sampling)
## Chain 1: Iteration: 1800 / 2000 [ 90%]  (Sampling)
## Chain 1: Iteration: 2000 / 2000 [100%]  (Sampling)
## Chain 1: 
## Chain 1:  Elapsed Time: 1.199 seconds (Warm-up)
## Chain 1:                0.304 seconds (Sampling)
## Chain 1:                1.503 seconds (Total)
## Chain 1: 
## 
## SAMPLING FOR MODEL &#39;continuous&#39; NOW (CHAIN 2).
## Chain 2: 
## Chain 2: Gradient evaluation took 1.6e-05 seconds
## Chain 2: 1000 transitions using 10 leapfrog steps per transition would take 0.16 seconds.
## Chain 2: Adjust your expectations accordingly!
## Chain 2: 
## Chain 2: 
## Chain 2: Iteration:    1 / 2000 [  0%]  (Warmup)
## Chain 2: Iteration:  200 / 2000 [ 10%]  (Warmup)
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<pre class="r"><code># Y predicted
ypred &lt;- posterior_predict(sm1, draws = 40)
# density plot
plot(density(y),col=&quot;black&quot;,lwd=4, xlab=&quot;HIV prevalence&quot;, main=&quot;HIV&quot;)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
for(i in 1:nrow(ypred))
{lines(density(ypred[i,]),col=&quot;grey&quot;,lty=3)}
#lines(density(colMeans(ypred)), col=&quot;red&quot;, lty=2, lwd=3)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
mtext(&quot;A&quot;, side=side, line=line, cex=cex, adj=adj)




# PLOT 2
# Hypertension
x &lt;- c(2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028)
y &lt;- c(0.2947,0.3012,0.3071,0.3125,0.3182,0.3236,0.3283,0.3327,0.3365,0.3400,0.3430)
# R stanam
sm2   &lt;- stan_glm(y~x, family=gaussian(), data = data.frame(x,y), seed=1234)</code></pre>
<pre><code>## 
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<pre class="r"><code># Y predicted
ypred &lt;- posterior_predict(sm2, draws = 40)
# density plot
plot(density(y),col=&quot;black&quot;, lwd=4, xlab=&quot;Hypertension prevalence&quot;, main=&quot;Hypertension&quot;)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
for(i in 1:nrow(ypred))
{lines(density(ypred[i,]),col=&quot;grey&quot;,lty=3)}
#lines(density(colMeans(ypred)), col=&quot;red&quot;, lty=2, lwd=3)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
mtext(&quot;B&quot;, side=side, line=line, cex=cex, adj=adj)



# PLOT 3
# Comorbid HIV and hypertension
x &lt;- c(2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028)
y &lt;- c(0.0206,0.0198,0.0188,0.0181,0.0173,0.0165,0.0158,0.0151,0.0144,0.0138,0.0131)
# R stanam
sm3   &lt;- stan_glm(y~x, family=gaussian(), data = data.frame(x,y), seed=1234)</code></pre>
<pre><code>## 
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<pre class="r"><code># Y predicted
ypred &lt;- posterior_predict(sm3, draws = 40)
# density plot
plot(density(y), col=&quot;black&quot;, lwd=4, xlab=&quot;HIV &amp; Hypertension prevalence&quot;, main=&quot;HIV &amp; Hypertension&quot;)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
for(i in 1:nrow(ypred))
{lines(density(ypred[i,]), col=&quot;grey&quot;, lty=3)}
#lines(density(colMeans(ypred)), col=&quot;red&quot;, lty=2, lwd=3)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
mtext(&quot;C&quot;, side=side, line=line, cex=cex, adj=adj)


# PLOT 4
# Depression
x &lt;- c(2018,2020,2025,2030,2035)
y &lt;- c(0.039,0.038,0.037,0.037,0.036)
# R stanam
sm4   &lt;- stan_glm(y~x, family=gaussian(), data = data.frame(x,y), seed=1234)</code></pre>
<pre><code>## 
## SAMPLING FOR MODEL &#39;continuous&#39; NOW (CHAIN 1).
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<pre class="r"><code># Y predicted
ypred &lt;- posterior_predict(sm4, draws = 40)
# density plot
plot(density(y),col=&quot;black&quot;, lwd=4, xlab=&quot;Depression prevalence&quot;, main=&quot;Depression&quot;)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
for(i in 1:nrow(ypred))
{lines(density(ypred[i,]),col=&quot;grey&quot;,lty=3)}
#lines(density(colMeans(ypred)), col=&quot;red&quot;, lty=2, lwd=3)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
mtext(&quot;D&quot;, side=side, line=line, cex=cex, adj=adj)</code></pre>
<p><img 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" width="672" /></p>
</div>
<div id="emulator-validation" class="section level1">
<h1>EMULATOR VALIDATION</h1>
<ul>
<li>We evaluate and validate our emulator using the leave-one-out cross
validation (LOO) technique</li>
<li>The technique is implemented using the loo R package whereby the
computation is done using Pareto-smoothed importance sampling (PSIS)
which regularizes importance weights</li>
<li>A detailed guide can be found here: <a href="https://cran.r-project.org/web/packages/loo/vignettes/loo2-large-data.html" class="uri">https://cran.r-project.org/web/packages/loo/vignettes/loo2-large-data.html</a></li>
</ul>
<p><a href="https://andrewproctor.github.io/rcourse/module6.html#model_testing" class="uri">https://andrewproctor.github.io/rcourse/module6.html#model_testing</a></p>
<pre class="r"><code># 1. Validating the accuracy of the HIV emulation model compared to the simulation model
# We call sm1 from the above posterior predictive analysis
# Getting the credible intervals
posterior_interval(sm1, prob=0.95) # Use sm1 from the above posterior predictive analysis to obtain the 95% credible intervals</code></pre>
<pre><code>##                      2.5%         97.5%
## (Intercept)  4.3419850877  4.7978427215
## x           -0.0023537363 -0.0021286166
## sigma        0.0003401975  0.0009479938</code></pre>
<pre class="r"><code>plot(sm1) # Graphically display the 95% credible intervals</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>posterior_vs_prior(sm1) # Juxtaposing the prior and the posterior estimates</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>pp_check(sm1) # Graphically display the posterior predictive analysis</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>waic(sm1) # Watanabe-Akaike information criterion</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##           Estimate  SE
## elpd_waic     66.1 1.7
## p_waic         2.4 0.8
## waic        -132.2 3.5
## 
## 2 (18.2%) p_waic estimates greater than 0.4. We recommend trying loo instead.</code></pre>
<pre class="r"><code>loo(sm1) # Leave One Out Cross-Validation</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo     65.8 1.9
## p_loo         2.7 1.0
## looic      -131.6 3.9
## ------
## Monte Carlo SE of elpd_loo is NA.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     9     81.8%   803       
##  (0.5, 0.7]   (ok)       1      9.1%   204       
##    (0.7, 1]   (bad)      1      9.1%   78        
##    (1, Inf)   (very bad) 0      0.0%   &lt;NA&gt;      
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code># In this tutorial, the Pareto k diagnostic is set at 0.7.
# the Pareto K diagnostic estimates how far an individual leave-one-out distribution is from the full distribution. 
# If k&lt;0.5, then the corresponding component is estimated with high accuracy. If 0.5&lt;k&lt;0.7 the accuracy is lower, but still ok.

# If # This line gives a warning.
# It is recommended to call &#39;loo&#39; again with argument &#39;k_threshold = 0.7&#39; 
# in order to calculate the ELPD without the assumption that these observations are negligible. 
# This will refit the model 1 times to compute the ELPDs for the problematic observations directly.
loo(sm1, k_threshold = 0.7)</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo     65.8 1.9
## p_loo         2.7 1.0
## looic      -131.6 3.9
## ------
## Monte Carlo SE of elpd_loo is 0.1.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     9     90.0%   803       
##  (0.5, 0.7]   (ok)       1     10.0%   204       
##    (0.7, 1]   (bad)      0      0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad) 0      0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code># 2. Validating the accuracy of the HTN emulation model compared to the simulation model

posterior_interval(sm2, prob=0.95) # Use sm2 from the above posterior predictive analysis to obtain the 95% credible intervals</code></pre>
<pre><code>##                      2.5%        97.5%
## (Intercept) -10.374898784 -8.649424454
## x             0.004433931  0.005287458
## sigma         0.001288169  0.003443498</code></pre>
<pre class="r"><code>plot(sm2)# Graphically display the 95% credible intervals</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>posterior_vs_prior(sm2)# Juxtaposing the prior and the posterior estimates</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>pp_check(sm2)# Graphically display the posterior predictive analysis</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>waic(sm2) # Watanabe-Akaike information criterion</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##           Estimate  SE
## elpd_waic     51.6 2.0
## p_waic         2.6 1.0
## waic        -103.1 4.1
## 
## 2 (18.2%) p_waic estimates greater than 0.4. We recommend trying loo instead.</code></pre>
<pre class="r"><code># Leave One Out Cross-Validation
loo(sm3, k_threshold = 0.7) # Use this alternative if you get a warning in the above line  </code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo     79.6 1.4
## p_loo         2.3 0.7
## looic      -159.2 2.8
## ------
## Monte Carlo SE of elpd_loo is 0.1.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     9     81.8%   1060      
##  (0.5, 0.7]   (ok)       2     18.2%   347       
##    (0.7, 1]   (bad)      0      0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad) 0      0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code># 3. Validating the accuracy of the HIV+HTN emulation model compared to the simulation model

posterior_interval(sm3, prob=0.95) # Use sm3 from the above posterior predictive analysis to obtain the 95% credible intervals</code></pre>
<pre><code>##                      2.5%         97.5%
## (Intercept)  1.4636864717  1.5922169602
## x           -0.0007788131 -0.0007152793
## sigma        0.0001021339  0.0002901978</code></pre>
<pre class="r"><code>plot(sm3) # Graphically display the 95% credible intervals</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>posterior_vs_prior(sm3) # Juxtaposing the prior and the posterior estimates</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>pp_check(sm3) # Graphically display the posterior predictive analysis</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>waic(sm3) # Watanabe-Akaike information criterion</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##           Estimate  SE
## elpd_waic     79.8 1.3
## p_waic         2.2 0.6
## waic        -159.6 2.7
## 
## 2 (18.2%) p_waic estimates greater than 0.4. We recommend trying loo instead.</code></pre>
<pre class="r"><code>loo(sm3)   # Leave One Out Cross-Validation</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo     79.6 1.4
## p_loo         2.3 0.7
## looic      -159.2 2.8
## ------
## Monte Carlo SE of elpd_loo is 0.1.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     9     81.8%   1060      
##  (0.5, 0.7]   (ok)       2     18.2%   347       
##    (0.7, 1]   (bad)      0      0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad) 0      0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code>loo(sm3, k_threshold = 0.7) # Use this alternative if you get a warning in the above line</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo     79.6 1.4
## p_loo         2.3 0.7
## looic      -159.2 2.8
## ------
## Monte Carlo SE of elpd_loo is 0.1.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     9     81.8%   1060      
##  (0.5, 0.7]   (ok)       2     18.2%   347       
##    (0.7, 1]   (bad)      0      0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad) 0      0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code># 4. Validating the accuracy of the depression emulation model compared to the simulation model

posterior_interval(sm4, prob=0.95) # Use sm4 from the above posterior predictive analysis to obtain the 95% credible intervals</code></pre>
<pre><code>##                      2.5%         97.5%
## (Intercept)  0.1592922534  5.415858e-01
## x           -0.0002489235 -6.029133e-05
## sigma        0.0002577907  1.653513e-03</code></pre>
<pre class="r"><code>plot(sm4) # Graphically display the 95% credible intervals</code></pre>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABUAAAAPACAMAAADDuCPrAAAA5FBMVEUAAAABH0sDOWwzMzNNTU1NTW5NTY5Nbm5Nbo5NbqtNjqtNjshkl7FuTU1uTW5ubk1ubm5ubo5ubqtujqtujshuq8huq+SOTU2OTY6Obk2Obm6Obo6ObquOjk2Ojo6OjsiOq8iOq+SOyOSOyP+rbk2rbm6rjm6rjquryKuryMiryOSryP+r5Mir5OSr5P/Ijk3Ijm7Iq27Iq47IyI7I5OTI5P/I///R4ezkq27kq47kq6vkyI7kyKvk5Kvk5Mjk5OTk5P/k/+Tk///l5eX/yI7/yKv/5Kv/5Mj/5OT//8j//+T////xhdKqAAAACXBIWXMAAB2HAAAdhwGP5fFlAAAV8UlEQVR4nO3d+39T92GA4bY5JmGe10sojO7WBJptXYdpOoIzsksJM7X1//8/05FkbGMZ8Itlyeh5fojN0ZF0PudYb77nIuknEwCSn6x7AQBuKwEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiDY1oD+5kQX78cebeBbgEyWgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKm+/5T0fP170YvE1AYdON7RxNf657UThPQGGzLer5fNHQdS8OZwkobLSz+ZwldN0LxBkCCpvs7X4q6EZZ3qnjb+8dDAv3V7sAT++9XDZZQGGyrJ8KukmWdupw7+6zyeTFmM+vl97r6O+XVu+KZo/y+vHOk2XLJaAgoJtuWadeDLtjH48eDMOd75bea//udQR08Sj7w6MlyyWg3DI/W4Fl/ZwWdBVP9bOfrXsF3kZLOvVqkc1LA3r8dLiGgL55lOnzXCyogHLbrKJpArrhLnZq2rP7J78sDejx4+EaAnrmUQ6WPI2ActusIGnPLwno8xU8l4AWFzt1MCwOSp4E9HBvGFv3Ym/YGY+I/t/e6cml46fTieNZoDGH03kOH+58NU7+djrP51/NHuXNLLOHuX8w/ddvX55/lOktp2eqPlsQUG6ZFSRteT9XNQRd9wq8jS50aprNxcDwzQj0cPrL3W9mvRv3tU/Hjq8fDPemwb27KOjd/9qb3XL0cBrE/WHYPT/Lq+n9f/H19B+zG86MQKe/ng5BBZS5v75tVpC0mw3oulfgx1nPX+mFTr2a921yJqDz4eWzcQi5OzmTvnn4Frv802B+/uWfH09vmU9+Nbvz2VkW9x8f9tH5AwH7w+lRUAFlbt0vyCtbQdIE9MOt56/0Qqf2lwd0uls//vvNYHNM38Hs52L8uD8bn77auz+mcz55uuN+dpYxoPfnd9+9ENDdk+cXUG6pFSTNLvyme7tTY9cWByTPBXSewfMB3T8p4XjQdP/NGaf9M+eYzs6yCOhizrMBPThzDwHlllpB0gR0031EQGd79sPJodE32TxbxnOzfFhAT5ZLQLllVpA0Z+E33UcG9LR75wJ6ck7o3CwCyidtFU1zHeiGW3YM9AoBPT17fi6gJ+eEzs0ioHzSVtE0Ad1wH3oSadkx0IOTjxr5z+/OHvk8GBa//uXluVnOBHT38pNIJ8sloOC98JvuQy9jGi/vfHB25Pni6/ml8b+eVvJ0XHlyv+Hus8kPv/zu3CwXL2OaPcrk/GVMJ8sloCCgm+4dF9K/+TSm8UL6O/Oz6HeeTeZDzFktX8zPD43zHz0chp1/mz/E4fxdRrM3NJ2ZZZz8i9++fLEo9JtHOX8h/clyCShMfB7ohrv0rZynnwc67+HOv+y9Kd73e8MXY0knr38zzN+ZuTjdvhhHvv5mOvne/07OzTLfhf/h54t/nXmU6Q27F5ZLQGHkE+k32Ts+TOS6nRwDvcCHicDlfCfSBlvSqcO9Sz4F9CNdFlAfZwfv5Fs5N9ayTr2af6DydbskoMf7yz72XkDhlO+F31Dv+EqP67Y8oL7SA7itLv1Suet/qhfDxevlfakccHvd3NcaLy5uWvL9R8sIKLDxfC88QCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAA0TYH9PlPR89X/0TAp2l7Azq2czT9ueqnAj5N2xrQRT2fLxq62icDPk1bGtCz+ZwldKXPBnyatjOgb/dTQYFgKwN6sZ8KClydgAooEG1jQJf1U0GBKxNQAQWiLQzo80sC6op64GrWGtCDYXTnT+N/vltM+2xhdQu2vJ+GoMBVrXcE+sPeMOw8mRz+zVcvTyYJKHBbrHkX/tV08Lk7efrodIqAArfFuo+B7k+HoP9478wEAQVui3UH9HDvzPHPkYACt8W6AzoOQYdHFyc7Cw9svLUH9OjBMNx9eWGy60CBjbcRAV0yBBVQYOOtO6DHv/vXpUNQ74UHNt66A/r0/uxy+vtvTxdQYOOtN6DHT+88me/Ef/3WLT4PFNh4a38r584fHsze0PnWGNQn0gMbb9278JfxnUjAxtvWgPpWTuCjbW9AfS888JG2OaCTyY8/3sSzAJ8oAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAGirQ7o85+Ont/AMwGfoi0O6NjO0fTnyp8L+BRtbUAX9Xy+aOiKnw34FG1rQM/mc5bQ1T4d8Cna0oC+3U8FBa5uFZ06ejjc/9jHWG1AL/ZTQYErW0Wn9odh58lHPoaAAhtvKwO6rJ8KClzVVu7CCyhwHbbxJNLzSwLqinrgSq6vU9/vDV88+/7J5OjBsNiFP37x82Hu/mzine8OHw47X08mrx8Ow5cvxzsdf/ub6Q1f/P70YT5bWGFAl/fTEBS4omvr1MGw+/L1wzGcx4/nAR1/fn28Pwy7k9lu/XDnT7OaPnq1N/64Oy3o4d50xtfTuD568zgCCtwW19WpaS3vTzP5YCzhwTygB7NIHu7Nh6P7YzOfjbH8/JfPxqze+W42cXcW2rsvTx5IQIHb4ro6Ne6j33s5OTgN6Dhld37DOPE0meOPRWOnY9FfzwI6TpsTUOC2uMYR6DB8Mb946cMDOvrvh4OAArfRtXVqfmBzdvnS2wE92YVfFtDX3+z8+7kR6MlyOQsPbLrr69Thm4K+fQx0doBzeUBf7A2Pjm86oK4DBa7FNXbq+JvhXB1PzsJ/MYvj8mOgY2MFFLidru0k0t9Ph5kv3to//346KN357fwE+7KAjuncndx8QL0XHrgO13cWfn6maNxdPwnowenFScsDOh4mvfNs3PcXUOD2ub6z8NOh5usH4wn32Qn5r8ZI/tVpQI/mV9eP70Eah577s1lmcw739oeLBfV5oMDGu7aA/vOfn+7N3pM5e9fmuGu+v3gf586XzxYTd/4w//FkftP9yeHD8S5HD08ugDqzXD6RHth0K+zUwXAifLid70QCNt4qO3Va0Kt/up1v5QQ23go79cfxQOjU68ebGVDfCw98nNV16ujByYmhg03chZ/58cebeBbgE7XCTu0PX/zH9Mdfvt0Ln08voMDGW2WnfvjN+O7Oz798Fu4roMDG28av9DgloMBHEFCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgEhAASIBBYgEFCASUIBIQAEiAQWIBBQgElCASEABIgEFiAQUIBJQgGhzAwqwYS6Eah11/BA3szo+u5mn4f1sik1hS7zDhU6tI46b47N1LwAnbIpNYUtcgYCyGWyKTWFLXIGAshlsik1hS1yBgLIZbIpNYUtcgYCyGWyKTWFLXIGAshlsik1hS1yBgLIZbIpNYUtcwZYHFKATUIBIQAEiAQWIBBQgElCASEABIgEFiAQUINq+gH6/N+x8/QHTWLklq/3Fz4fhc5vipl3yAjjcu3/zy3K7bF1A93d+P/nhrb+LZdNYuSWr/ekws7umJdpWl7wAjh8PXhTvsW0BPZj9SRwMj94zjZVbstpfjcOg1w8Hr9sbddkL4MCGeK8tC+jRgzvfTcZdk9mPy6excstW+9Mn43+nA5+7L9e1WFvoshfA0d/9g4C+z5YF9GD+0py+RB+9cxort2S1H/3TuZu4GZe9AJ4+2hfQ99mygO7PD69N/1Z23zmNlXvHan9lS9ykS7bEq3sTAX2v7Qro0YPFX8T+6Rhn2TRW7l2r/WDnyc0v0Na6ZEsc/eaJgL6fgAroWrxjtR8/3r355dlel2yJg/sTAX0/ARXQtXjHan9lAHqTlm+Jw1+9FNAPIKACuhaXr/ajB07m3aSlW+L4d48mAvoBtjagu++axspdvtqfetHeqKVb4uDefIpt8R7bFdCTE41n32KxbBord+lqn790uTHLtsTR384uCRXQ99qugJ5c8jb9n+6F60DPTWPlLlntr+45jnLDlmyJg+ENx7XeacsCuni3xeHe2cPlS6axcstX+6tfzf/1P2tZpu10+QvACPS9tiygizf8vv1e+IvTWLllq33Rz+PvvXBv0KUvAAF9r20L6PHjO88mLxZ/F0+Hey/fnsZNWbIpXpzsN7qQ6SYte1HMCOh7bVtAJ8d/3Bu++P3895O/lbPTuDEXNsULB97WY9mLYiSg77V1AQW4LgIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJEAgoQCShAJKAAkYACRAIKEAkoQCSgAJGAAkQCChAJKEAkoACRgAJE/w9dbJDQXLYE9AAAAABJRU5ErkJggg==" width="672" /></p>
<pre class="r"><code>posterior_vs_prior(sm4) # Juxtaposing the prior and the posterior estimates</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>pp_check(sm4) # Graphically display the posterior predictive analysis</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>waic(sm4) # Watanabe-Akaike information criterion</code></pre>
<pre><code>## 
## Computed from 4000 by 5 log-likelihood matrix
## 
##           Estimate  SE
## elpd_waic     29.5 0.5
## p_waic         1.8 0.2
## waic         -59.0 1.1
## 
## 2 (40.0%) p_waic estimates greater than 0.4. We recommend trying loo instead.</code></pre>
<pre class="r"><code>loo(sm4) # Leave One Out Cross-Validation</code></pre>
<pre><code>## 
## Computed from 4000 by 5 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo     29.3 0.6
## p_loo         2.1 0.3
## looic       -58.6 1.2
## ------
## Monte Carlo SE of elpd_loo is NA.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     2     40.0%   633       
##  (0.5, 0.7]   (ok)       1     20.0%   174       
##    (0.7, 1]   (bad)      2     40.0%   165       
##    (1, Inf)   (very bad) 0      0.0%   &lt;NA&gt;      
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code>loo(sm4, k_threshold = 0.7) # Use this alternative if you get a warning in the above line</code></pre>
<pre><code>## 
## Computed from 4000 by 5 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo     29.1 0.8
## p_loo         2.3 0.5
## looic       -58.1 1.6
## ------
## Monte Carlo SE of elpd_loo is 0.1.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     2     66.7%   633       
##  (0.5, 0.7]   (ok)       1     33.3%   174       
##    (0.7, 1]   (bad)      0      0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad) 0      0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
</div>
<div id="loo-output-explanation" class="section level1">
<h1>Loo output explanation</h1>
<ul>
<li>From the above loo cross validation outputs, we observe that all the
four GP models have pareto k estimates with k-threshold values of
k&lt;0.7 which are okay. -We therefore validate that our emulator is a
good representation of the simulators.</li>
</ul>
<div id="additional-emulations-to-approximate-health-system-burden" class="section level2">
<h2>ADDITIONAL EMULATIONS TO APPROXIMATE HEALTH SYSTEM BURDEN</h2>
<p>The following chunks of code represent the additional emulations
performed to approximate simulations for different hypothetical
intervention/disease control program options. We display the plots
combined into 1</p>
<pre class="r"><code>################# Combine GP plots 1 - 4 #####################
line = 1
cex = 1
side = 3
adj=-0.05

# To generate a .tiff plot use the below line of code
# tiff(&quot;D:/inMODELA TRAINING/CONSULTANCY 1/BMC medical journal manuscript review/Plots/additional_emul1.tiff&quot;, width=12, height=10, units=&quot;in&quot;, res=300)  # Adjust width, height, and resolution as needed

par(mfrow=c(2,2), oma=c(1,6,1,1))

### PLOT 1
# ART coverage target
x &lt;- seq(2018,2028, l=11) # Simulated years
y &lt;- seq(5219,2935, l=11) # Target values
# The simulator&#39;s confidence intervals
l &lt;- seq(4728,2434, length.out = 11)
u &lt;- seq(5911,3436, length.out = 11)
# Fitting the gaussian process
library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed</code></pre>
<pre class="r"><code># Plotting
# Run the following lines of code together
plot(x,y,xlab=&quot;years&quot;, ylab= &quot;ART coverage&quot;,type=&quot;b&quot;, lwd=2, pch=16)#,
curve(gp$predict(x), add=T, col=2, lty=5)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4)
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)
lines(x,l,col=&quot;green&quot;,lwd=4)
lines(x,u,col=&quot;green&quot;,lwd=4)
mtext(&quot;A&quot;, side=side, line=line, cex=1.5, adj=adj)

# PLOT 2
# Hypertension treatment target
x &lt;- seq(2018,2028, l=11) # Simulated years
y &lt;- seq(9440,9540, l=11) # Target values
# Fitting the gaussian process
# The simulator&#39;s confidence intervals
l &lt;- seq(9403, 9499, length.out=11)
u &lt;- seq(9476, 9580, length.out=11)

# Fitting the gaussian process
library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## [1] &quot;All restarts had error, keeping initial&quot;</code></pre>
<pre class="r"><code># Plotting
plot(x,y, xlab=&quot;years&quot;, ylab= &quot;Hypertension treatment&quot;,type=&quot;b&quot;, lwd=2, pch=16)#,
curve(gp$predict(x), add=T, col=2, lty=5)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4)
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)
lines(x,l,col=&quot;green&quot;,lwd=4)
lines(x,u,col=&quot;green&quot;,lwd=4)
mtext(&quot;B&quot;, side=side, line=line, cex=1.5, adj=adj)

# PLOT 3
# Comorbid HIV and hypertension
x &lt;- seq(2018,2028, l=11) # Simulated years
y &lt;- seq(2581,1774, l=11) # Target values
# Fitting the gaussian process
# The simulator&#39;s confidence intervals
l &lt;- seq(2137, 1472, length.out=11)
u &lt;- seq(3025, 2075, length.out=11)

# Fitting the gaussian process
library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## [1] &quot;All restarts had error, keeping initial&quot;</code></pre>
<pre class="r"><code># Plotting
plot(x,y, xlab=&quot;years&quot;, ylab= &quot;Comorbid HIV and Hypertension treatment&quot;,type=&quot;b&quot;, lwd=2, pch=16)#,
curve(gp$predict(x), add=T, col=2, lty=5)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4)
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)
lines(x,l,col=&quot;green&quot;,lwd=4)
lines(x,u,col=&quot;green&quot;,lwd=4)
mtext(&quot;C&quot;, side=side, line=line, cex=1.5, adj=adj)
# PLOT 4
# Either HIV or hypertension
x &lt;- seq(2018,2028, l=11)
y &lt;- seq(41108,43476, l=11)
# Fitting the gaussian process
# The simulator&#39;s confidence intervals
l &lt;- seq(40171, 42858, length.out=11) # Simulated years
u &lt;- seq(41700, 44093, length.out=11) # Target values

# Fitting the gaussian process
library(GauPro)
gp &lt;- GauPro(x,y, parallel=FALSE)</code></pre>
<pre><code>## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed
## Error in eval(expr, envir, enclos) : chol(): decomposition failed</code></pre>
<pre class="r"><code># Plotting
plot(x,y, xlab=&quot;years&quot;, ylab= &quot;Either HIV or hypertension treatment&quot;,type=&quot;b&quot;, lwd=2, pch=16)#,
curve(gp$predict(x), add=T, col=2, lty=5)
curve(gp$predict(x)+1.96*gp$predict(x, se=T)$se, add=T, col=4)
curve(gp$predict(x)-1.96*gp$predict(x, se=T)$se, add=T, col=4)
lines(x,l,col=&quot;green&quot;,lwd=4)
lines(x,u,col=&quot;green&quot;,lwd=4)
mtext(&quot;D&quot;, side=side, line=line, cex=1.5, adj=adj)</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code># dev.off()  # Close the TIFF device</code></pre>
</div>
<div id="bayesian-posterior-predictive-analysis-for-the-additional-emulations" class="section level2">
<h2>BAYESIAN POSTERIOR PREDICTIVE ANALYSIS FOR THE ADDITIONAL
EMULATIONS</h2>
<pre class="r"><code>side=3
line = 1
cex = 1
adj=-0.05

# tiff(&quot;D:/inMODELA TRAINING/CONSULTANCY 1/BMC medical journal manuscript review/Plots/additional_emul2.tiff&quot;, width=12, height=10, units=&quot;in&quot;, res=300)  # Adjust width, height, and resolution as needed

par(mfrow=c(2,2), oma=c(1,6,1,1))

# To add more options to the plot, use the line below
# par(mfrow=c(2,2), oma=c(1,6,1,1), cex.lab=1.5, cex.axis=1.2, cex.sub=1.2, font.lab=2)

set.seed(12345)

## PLOT 1 - Emulator&#39;s posterior predictions of ART coverage target
x &lt;- seq(2018,2028, l=11)
y &lt;- seq(5219,2935, l=11)
# Add some random noise to y to show variation
set.seed(123)  # Set seed for reproducibility
y &lt;- y + rnorm(length(y), mean = 0, sd = 50)
# using rstanarm&#39;s default priors. For details see the section on default weakly informative priors at https://mc-stan.org/rstanarm/articles/priors.html
sm1   &lt;- stan_glm (y~x, 
                   family=gaussian(),                                                   # Specify distribution.
                   data = data.frame(x,y),                                             
                   seed=1234)</code></pre>
<pre><code>## 
## SAMPLING FOR MODEL &#39;continuous&#39; NOW (CHAIN 1).
## Chain 1: 
## Chain 1: Gradient evaluation took 1.7e-05 seconds
## Chain 1: 1000 transitions using 10 leapfrog steps per transition would take 0.17 seconds.
## Chain 1: Adjust your expectations accordingly!
## Chain 1: 
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## Chain 1: 
## Chain 1:  Elapsed Time: 0.509 seconds (Warm-up)
## Chain 1:                0.073 seconds (Sampling)
## Chain 1:                0.582 seconds (Total)
## Chain 1: 
## 
## SAMPLING FOR MODEL &#39;continuous&#39; NOW (CHAIN 2).
## Chain 2: 
## Chain 2: Gradient evaluation took 1.6e-05 seconds
## Chain 2: 1000 transitions using 10 leapfrog steps per transition would take 0.16 seconds.
## Chain 2: Adjust your expectations accordingly!
## Chain 2: 
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## Chain 2: 
## Chain 2:  Elapsed Time: 0.868 seconds (Warm-up)
## Chain 2:                0.057 seconds (Sampling)
## Chain 2:                0.925 seconds (Total)
## Chain 2: 
## 
## SAMPLING FOR MODEL &#39;continuous&#39; NOW (CHAIN 3).
## Chain 3: 
## Chain 3: Gradient evaluation took 1.6e-05 seconds
## Chain 3: 1000 transitions using 10 leapfrog steps per transition would take 0.16 seconds.
## Chain 3: Adjust your expectations accordingly!
## Chain 3: 
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## Chain 3: 
## Chain 3:  Elapsed Time: 0.516 seconds (Warm-up)
## Chain 3:                0.093 seconds (Sampling)
## Chain 3:                0.609 seconds (Total)
## Chain 3: 
## 
## SAMPLING FOR MODEL &#39;continuous&#39; NOW (CHAIN 4).
## Chain 4: 
## Chain 4: Gradient evaluation took 1.8e-05 seconds
## Chain 4: 1000 transitions using 10 leapfrog steps per transition would take 0.18 seconds.
## Chain 4: Adjust your expectations accordingly!
## Chain 4: 
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## Chain 4: 
## Chain 4:  Elapsed Time: 0.558 seconds (Warm-up)
## Chain 4:                0.076 seconds (Sampling)
## Chain 4:                0.634 seconds (Total)
## Chain 4:</code></pre>
<pre class="r"><code># Y predicted
ypred &lt;- posterior_predict(sm1, draws = 50)                                            # Specify the number of draws to return (50 at minimum).

# density plot
plot(density(y),col=&quot;black&quot;,lwd=3, xlab=&quot;ART coverage&quot;, main=&quot;&quot;)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
for(i in 1:nrow(ypred))
{lines(density(ypred[i,]),col=&quot;lightblue&quot;,lty=3)}
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
mtext(&quot;A&quot;, side=side, line=line, cex=1.5, adj=adj)



# PLOT 2 - Emulator&#39;s posterior predictions of Hypertension treatmenbt target
x &lt;- seq(2018,2028, l=11)
y &lt;- seq(9440,9540, l=11)
# Add some random noise to y to show variation
set.seed(123)  # Set seed for reproducibility
y &lt;- y + rnorm(length(y), mean = 0, sd = 50)
# R stanam
sm2   &lt;- stan_glm(y~x, family=gaussian(), data = data.frame(x,y), seed=1234)</code></pre>
<pre><code>## 
## SAMPLING FOR MODEL &#39;continuous&#39; NOW (CHAIN 1).
## Chain 1: 
## Chain 1: Gradient evaluation took 1.9e-05 seconds
## Chain 1: 1000 transitions using 10 leapfrog steps per transition would take 0.19 seconds.
## Chain 1: Adjust your expectations accordingly!
## Chain 1: 
## Chain 1: 
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## Chain 1: 
## Chain 1:  Elapsed Time: 0.16 seconds (Warm-up)
## Chain 1:                0.064 seconds (Sampling)
## Chain 1:                0.224 seconds (Total)
## Chain 1: 
## 
## SAMPLING FOR MODEL &#39;continuous&#39; NOW (CHAIN 2).
## Chain 2: 
## Chain 2: Gradient evaluation took 1.7e-05 seconds
## Chain 2: 1000 transitions using 10 leapfrog steps per transition would take 0.17 seconds.
## Chain 2: Adjust your expectations accordingly!
## Chain 2: 
## Chain 2: 
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## Chain 2: 
## Chain 2:  Elapsed Time: 0.196 seconds (Warm-up)
## Chain 2:                0.058 seconds (Sampling)
## Chain 2:                0.254 seconds (Total)
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<pre class="r"><code># Y predicted
ypred &lt;- posterior_predict(sm2, draws = 50)
# density plot
plot(density(y),col=&quot;black&quot;, lwd=3, xlab=&quot;Hypertension treatment&quot;, main=&quot;&quot;)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
for(i in 1:nrow(ypred))
{lines(density(ypred[i,]),col=&quot;lightblue&quot;,lty=3)}
#lines(density(colMeans(ypred)), col=&quot;red&quot;, lty=2, lwd=3)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
mtext(&quot;B&quot;, side=side, line=line, cex=1.5, adj=adj)



# PLOT 3 - Emulator&#39;s posterior predictions of Comorbid HIV and hypertension treatment target
x &lt;- seq(2018,2028, l=11)
y &lt;- seq(2581,1774, l=11)
# Add some random noise to y to show variation
set.seed(123)  # Set seed for reproducibility
y &lt;- y + rnorm(length(y), mean = 0, sd = 50)
# R stanam
sm3   &lt;- stan_glm(y~x, family=gaussian(), data = data.frame(x,y), seed=1234)</code></pre>
<pre><code>## 
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<pre class="r"><code># Y predicted
ypred &lt;- posterior_predict(sm3, draws = 50)
# density plot
plot(density(y), col=&quot;black&quot;, lwd=3, xlab=&quot;HIV &amp; Hypertension treatment&quot;, main=&quot;&quot;)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
for(i in 1:nrow(ypred))
{lines(density(ypred[i,]), col=&quot;lightblue&quot;, lty=3)}
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
mtext(&quot;C&quot;, side=side, line=line, cex=1.5, adj=adj)



# PLOT 4 - Emulator&#39;s posterior predictions of either HIV or hypertension treatment target
x &lt;- seq(2018,2028, l=11)
y &lt;- seq(41108,43476, l=11)
# Add some random noise to y to show variation
set.seed(123)  # Set seed for reproducibility
y &lt;- y + rnorm(length(y), mean = 0, sd = 50)
# R stanam
sm4   &lt;- stan_glm(y~x, family=gaussian(), data = data.frame(x,y), seed=1234)</code></pre>
<pre><code>## 
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<pre class="r"><code># Y predicted
ypred &lt;- posterior_predict(sm4, draws = 50)
# density plot
plot(density(y),col=&quot;black&quot;, lwd=3, xlab=&quot;HIV or hypertension treatment&quot;, main = &quot;&quot;)
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
for(i in 1:nrow(ypred))
{lines(density(ypred[i,]),col=&quot;lightblue&quot;,lty=3)}
lines(density(ypred[1,]), col=&quot;red&quot;, lty=2, lwd=3)
mtext(&quot;D&quot;, side=side, line=line, cex=1.5, adj=adj)</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># dev.off()  # Close the TIFF device</code></pre>
</div>
</div>
<div id="emulator-validation-of-additional-emulations" class="section level1">
<h1>EMULATOR VALIDATION OF ADDITIONAL EMULATIONS</h1>
<ul>
<li>We evaluate and validate our emulator using the leave-one-out cross
validation (LOO) technique</li>
<li>The technique is implemented using the loo R package whereby the
computation is done using Pareto-smoothed importance sampling (PSIS)
which regularizes importance weights</li>
<li>A detailed guide can be found here: <a href="https://cran.r-project.org/web/packages/loo/vignettes/loo2-large-data.html" class="uri">https://cran.r-project.org/web/packages/loo/vignettes/loo2-large-data.html</a></li>
</ul>
<p><a href="https://andrewproctor.github.io/rcourse/module6.html#model_testing" class="uri">https://andrewproctor.github.io/rcourse/module6.html#model_testing</a></p>
<pre class="r"><code># 1. Validating the accuracy of the ART coverage target emulation model compared to the simulation model
# We call sm1 from the above posterior predictive analysis
# Getting the credible intervals
posterior_interval(sm1, prob=0.95) # Use sm1 from the above posterior predictive analysis to obtain the 95% credible intervals</code></pre>
<pre><code>##                    2.5%       97.5%
## (Intercept) 443215.3060 490231.8999
## x             -240.2849   -217.0703
## sigma           35.9990    106.1454</code></pre>
<pre class="r"><code>plot(sm1) # Graphically display the 95% credible intervals</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>posterior_vs_prior(sm1) # Juxtaposing the prior and the posterior estimates</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>pp_check(sm1) # Graphically display the posterior predictive analysis</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>waic(sm1) # Watanabe-Akaike information criterion</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##           Estimate  SE
## elpd_waic    -61.0 1.4
## p_waic         2.2 0.4
## waic         122.0 2.9</code></pre>
<pre class="r"><code>loo(sm1) # Leave One Out Cross-Validation</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo    -61.1 1.5
## p_loo         2.3 0.4
## looic       122.2 2.9
## ------
## Monte Carlo SE of elpd_loo is 0.0.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     10    90.9%   1214      
##  (0.5, 0.7]   (ok)        1     9.1%   1371      
##    (0.7, 1]   (bad)       0     0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad)  0     0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code># In this tutorial, the Pareto k diagnostic is set at 0.7.
# the Pareto K diagnostic estimates how far an individual leave-one-out distribution is from the full distribution. 
# If k&lt;0.5, then the corresponding component is estimated with high accuracy. If 0.5&lt;k&lt;0.7 the accuracy is lower, but still ok.

# If # This line gives a warning.
# It is recommended to call &#39;loo&#39; again with argument &#39;k_threshold = 0.7&#39; 
# in order to calculate the ELPD without the assumption that these observations are negligible. 
# This will refit the model 1 times to compute the ELPDs for the problematic observations directly.
loo(sm1, k_threshold = 0.7)</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo    -61.1 1.5
## p_loo         2.3 0.4
## looic       122.2 2.9
## ------
## Monte Carlo SE of elpd_loo is 0.0.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     10    90.9%   1214      
##  (0.5, 0.7]   (ok)        1     9.1%   1371      
##    (0.7, 1]   (bad)       0     0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad)  0     0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code># 2. Validating the accuracy of the hypertension treatment target emulation model compared to the simulation model

posterior_interval(sm2, prob=0.95) # Use sm2 from the above posterior predictive analysis to obtain the 95% credible intervals</code></pre>
<pre><code>##                      2.5%       97.5%
## (Intercept) -3.099613e+04 11382.69256
## x           -9.559984e-01    20.00485
## sigma        3.552076e+01    90.45286</code></pre>
<pre class="r"><code>plot(sm2)# Graphically display the 95% credible intervals</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>posterior_vs_prior(sm2)# Juxtaposing the prior and the posterior estimates</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>pp_check(sm2)# Graphically display the posterior predictive analysis</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>waic(sm2) # Watanabe-Akaike information criterion</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##           Estimate  SE
## elpd_waic    -60.7 1.6
## p_waic         2.2 0.4
## waic         121.4 3.2</code></pre>
<pre class="r"><code># Leave One Out Cross-Validation
loo(sm2)</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo    -60.8 1.6
## p_loo         2.3 0.4
## looic       121.6 3.2
## ------
## Monte Carlo SE of elpd_loo is 0.0.
## 
## All Pareto k estimates are good (k &lt; 0.5).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code>loo(sm2, k_threshold = 0.7) # Use this alternative if you get a warning in the above line  </code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo    -60.8 1.6
## p_loo         2.3 0.4
## looic       121.6 3.2
## ------
## Monte Carlo SE of elpd_loo is 0.0.
## 
## All Pareto k estimates are good (k &lt; 0.5).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code># 3. Validating the accuracy of the comorbid HIV and hypertension treatment target emulation model compared to the simulation model

posterior_interval(sm3, prob=0.95) # Use sm3 from the above posterior predictive analysis to obtain the 95% credible intervals</code></pre>
<pre><code>##                     2.5%        97.5%
## (Intercept) 142981.04874 190090.73022
## x              -92.90279    -69.60018
## sigma           36.43413     99.09866</code></pre>
<pre class="r"><code>plot(sm3) # Graphically display the 95% credible intervals</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>posterior_vs_prior(sm3) # Juxtaposing the prior and the posterior estimates</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>pp_check(sm3) # Graphically display the posterior predictive analysis</code></pre>
<p><img 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width="672" /></p>
<pre class="r"><code>waic(sm3) # Watanabe-Akaike information criterion</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##           Estimate  SE
## elpd_waic    -60.9 1.4
## p_waic         2.1 0.4
## waic         121.8 2.9</code></pre>
<pre class="r"><code>loo(sm3)   # Leave One Out Cross-Validation</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo    -61.0 1.5
## p_loo         2.2 0.4
## looic       122.1 2.9
## ------
## Monte Carlo SE of elpd_loo is 0.0.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     10    90.9%   998       
##  (0.5, 0.7]   (ok)        1     9.1%   1602      
##    (0.7, 1]   (bad)       0     0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad)  0     0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code>loo(sm3, k_threshold = 0.7) # Use this alternative if you get a warning in the above line</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo    -61.0 1.5
## p_loo         2.2 0.4
## looic       122.1 2.9
## ------
## Monte Carlo SE of elpd_loo is 0.0.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     10    90.9%   998       
##  (0.5, 0.7]   (ok)        1     9.1%   1602      
##    (0.7, 1]   (bad)       0     0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad)  0     0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code># 4. Validating the accuracy of the either HIV or hypertension treatment target emulation model compared to the simulation model

posterior_interval(sm4, prob=0.95) # Use sm4 from the above posterior predictive analysis to obtain the 95% credible intervals</code></pre>
<pre><code>##                      2.5%        97.5%
## (Intercept) -460758.01397 -411604.0298
## x               224.37110     248.6686
## sigma            36.39897     104.1451</code></pre>
<pre class="r"><code>plot(sm4) # Graphically display the 95% credible intervals</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>posterior_vs_prior(sm4) # Juxtaposing the prior and the posterior estimates</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code>pp_check(sm4) # Graphically display the posterior predictive analysis</code></pre>
<p><img 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EvmVsYeL52gJ5MDdL+q70nu7BNk1GazA20x7z2HB6jLqrtl2s1reqIvtr6MURcrbIdpmgSq45PgE6kWtOtWI3TBhi4V0S+zfd3Zvq0AcYKeQA7Q3crcXyCzXl7/hna92bY7UrKpWRwkmsfph6ZqmFC1bxu5X4tnS1lb4VjDS3lHOa+uj7aFlE/R+VRbIXSeoR1HPHjdLGktqBP0BHKA7lM2zM6EwHcBZtq3cXO1X1tgwWTnkK1ZbFZDp94zrw4Gcs1nkZItJGfaiprzxxPHs+9R3+zSfThQv68HCNpSr31ajFY2ixygx5cDdJdqKynzn0QJxOdgt/oOzgtaf9e2TRnyzJ1Rg090daHCUnsAqYas0D3fkGTm5LSZ9jvbCkvbxM/lTEq9rllxd1WoLWiRoG5BTyUH6A7VaR1BfuaswTP47C3M0XgVVevXmiQj6kTOJ9z1ngApL1PlaFszBjItSMegNh+lsaARSut+OSW7Q/VJ2zLoRFTtrFr9QFVoXXx3lQfxJ5QDdH/qVCXmex7d52IS+KIgreYGkuVVp7ayXzT06PklR8lHb5hXoySUDebbhRY8sI7HG0h2dm84agFc1t5tQmfc97wFdYIeXQ7Q3YnrCqtFYb7jZ0OrupaTPRe/WbaBal3feybxUboIrGkKXKXQHLD1g3OfjymsGrrqogYfQ59XXWR6u0VNaGx+O/vSLeiJ5ADdmTotynnRUuWnftNMh0HiALpXUTpU3mlAT8Fnr4MPtMSyn7AcFpqa0aa4unD6jE2jUYya1Z2CaJveWVcPivkTamsoBqc7tL69U3AdTA7QXanXIQft50xXHUOKETy57Gb1bP+fXLU5Mp8FnzNdqiCUCUDsmQjmBi1bg3MEzd320BTcy5t+cfw9dJqiYCVBu79T940T9MRygO5JPUhK+D7Ep7xswna7WTewnrl/c7g9gmfUyZBmGUw1lQbcmYKqQWiuGGNUq9rOgA1Lrd2U+tbxJ6QqkXbFvY1JwzoRJ+h55QDdj7pRJ3AeogV89np2VmWbd2bn0fZD7xmNk52FcCnNuE0kKnRGLtUl6BMCJXWm2s2Wd3KgzqxN9CEGgf5qE7ru7TxAnaBHlgN0N+q3fESyaQME0J9h3I7qrB6H+nImY/MZKzs5LqjdRNXQokO0H7xTwdBCs3PCtf0znrcZxa+O1q1+vTOMd4J+nByge9GgySNQIDraZcgG2ahnTatGHLOGls7h0xQ4QzX1wrTsFBoSP+vm+vJadXrX9rOp6OhlVwZTRdD1m/i+9w3eFcY3IG+26gHUCXpcOUB3or5BYnT09sjcGUWnqoS5Za1xyy9m4Fnjc7HiUjboNF8xWRVPQQ3UlKmTO8yERrRttZWuGKFnkd2o1ClUe8rHb440+/m7a92CnlUO0F1oMPsFdxXvrZuNadU27cL+27LpLD6bEUf9A9cbFBdqt5tIIf/DHhHSNzKtyHdXnxuYgavV4dUr/c3wFk3HgELQ5rT1l38jQbt7OUGPKgfoHtRv/hlmvugkjuuoV3M6MqRq+Tw9Gxc5OLB6bWAFMli9zGGcF6pzgDBdvtfluut8FrDvdJcmMaJ2iXK/o4SnQ5tN/tku7rxra3mdoKeQA/TtGvUhHzYepfq+BbbwnV0vHWwq1JgznzjkvVJbr2jjY4FToebgjDHJPnZuimAodwtIOxvbWlTayJ6gcZRqdxXGzx1wloYDgno16CnkAH23Brcm2U99o4Pyb7P3G3Tr2Tr5P21Dz1eNzxqWvSPpk5JEotTyFXKSkWI1Y+e0dGHTdLl8C/h7Detzn1p9+u6TQz6ylCdfTNXVXx3oawVC8/PBnmy1FjoAdQt6CjlA36whP219Hm1bIsbOKtDgKV6LENeL3YMqxMKzNZa636eU2oAKOG5OMLykis2We/2PzIAPF6n77FY3rMAo1LG8Kkp/F7q0dmQovdLPk7ljmgN26kXdgp5SDtC3akADwITw9eCd/KfkV9L2TzgqcxDpeLnTemOPPNtuJEc1yI72ngc+NG4eQJ9o7ULb8ylQw0ge+tuVs++usOVXlQnV4aCmMVROsUHoPORslcksQbsW1Al6SDlA36lRExHNqq42pHszhOa+V5twpyblN6Gd2ail9hI+B0N2jBFW5m2QtFSozvvq89ZnVjoyzcX78xTlkqrTVZ8o1y+YbdC4qooKPoIi6Mwx+euw+5a1bkHPKAfoGzXgIAEPms168bDZlSDVcV5C3QV6tlFymgCuP/2H7qYuFQajJB1Kyh2TO5UaAW2qwyIl562orslQ56gWCvqNJTTfH67Sj5aZ5qT6MNVat6AnlAP0bepYOjRdtk9PudmnheJMk7Is1JtUU11Aneaz7CQgm0zbk5peQ1WgAs2xPEnz0eInTyV9f6funwpr1alyqYtec7C2fHOyhL8dfeL6I5VZQaqvUH9Bw7Opv3XorlVrasS6DicH6JvUYqaYuLJKAbHXCK53LqQtC2wlgAYngq6DT+ZKoFrYtpFKny2tqo42mq2+LKGPNEmC0l5fLq564BOpSrOffrBc/QWaTbmuz6i+PvrHPiGqTMszFQvm75CgbkHPIgfoe1RX74G0e4TCT6JLfrkw3r0XN2qoNgeDyn1qQAHXBJac753zVwcxPfHrjdnTBVvTSZ+uoLmDSDX/kSF57yvoM7TwWT7cYE+uiVUbqa8jgCXoUhzPlbBmXWg2c4IeXQ7Qt6jqqqhivkDW1GBp5LCydKWn9YX5bzOjnK3WI3yaDfAPt5zP8RPqhpiWCZp4evrh8pErbppqgkmiajOBRx/qdbuNdrblCdT5Kst3FQxB1SeDUDv1tpiqeKifki1B60KcoEeTA/QNsuG74gvQMBztPXvRvlIwrcb1KzAElBcVPdWRVEito+rawvKxW752HXBViCAwARFbxhQeze6l/V9C7bKqobFdb8oxX0r7Ncoirv2svpP0olNV3JP5BmqC1kmonaAHlwP09TLGRFeMoV+qcmSOYta8ztQc1vgEU3Yxov2GI5CKxnKOVQWm+QQQOpM0GUTaFaoesoyFz2+klb/7UZUfbU9E9ilMbkaLtnydMaExlk5gzY9UG/ZlgjYd1dRh+kU4QY8lB+jLpflp8QlBSKC2Hle3dW1hFJ5Um1LJ/dhdGmrkXEAKU6WUUzUe2axv2ImJlgiD3VTMUAaAdsZMGcM6ODCAPitV41nqW/Uxe9+prkWYas5WLlQO1SmnIujgEeMW9BxygL5aip+26pBzhFjbN7Q5DafKHi1e4hifYGdABtMLoDpJJBXNz9TQo8q9iUPjTSfS6rPVR6FPD3Uwz0Vzyww5TRvtt1W9ZjKP6lgdq2sRitUTtsT0p2pJWiZoEyao2t960+4C157lAH2xyk1XVR2KxepuXJfS4LO2jmZLe/MTAkCvMgetTGBFugk6kI7U/AXS4i7dUutzbMvkz1rOmGch1U6YZlHSZVS5SqoDcoYQwnKD6/oDmFNsHiS81rYkrfCg0aYrVH3Ueps6QY8lB+hLJaalsY8ceNqN+/dn60vxbTN7mgGkwWdpYe+X3TrhWCLlupYxD4ycqsi5Lrktrj2yOXM+CgMQj6PLbfKCQMnoWYfYYLuaQvsd1meRrHCTPhrAELT2l2VD+9bOwOcW9DxygL5SYnwa/nWmNhrZzw5XCS71hpo2Fp9TzRcuupqeSN/3+EY3Uitk2Uae9rwHpQ43Qqk4XQaJlr73XduZNynDpyzrTZ/WkX1UBI1twqlYqkHKWc5XB1RvnaBnkgP0hWJ+tjeXrYeMDKheGf1slw0MLI+r4J226HnEZhlzKhBPpDWKB7Pn12XrBXM5pKf+KEqqEZ5eTxfu+aRYWBWiz0N3H6V2rMLe0UmUswnNVg1BBzWq9o2pjTXoHFZmuPYvB+jrBANGxdjYz55NzYtarFYsyYsqGtuGIx7/zZUGApcRUcjHJWM3GZzIW8Ze/2Mvej7NzDYiBmBoMwvLbEmGjOUrqo5rqw+4fiB/D1Pz5dE25UU7VV07Y2f309e/qBP0hHKAvkwwsp+qGaRs2ruNemF3qBfaqLNqd2/KkPs+22DhkT6oJPUIuqUbh2am96Guu23OuX4lh+4cbsZ35/NDvk6XDvVwBD/0Pl3fA2fyQnUuYL4h/MVCffINQetes+0nqQmqHqUexB9XDtBXiflZL4WGn/3WnR4+kSeWCKpqEGp8QqeM2EAjxihN6ULjqzMso4JU+06YzRHVsYN9anZ3Mh+UFxIh27QgUVICgPke2lLtJ51a8BVzztUdTcVJj6DNr9YQFNSjcYagDtDDyAH6IgHWg/X4mUyo3bIbvffMq1kIoNp28pIan7FLJ7yxxYkquomhKwme05Qb0t8/xmjrG+tipci65HlZRw2CRfUxr/9Odm49u5UcUFXjKoTqozUBgCqPe+8HqFvtuwStv99BXCEEdQt6dDlAXyPkZ7OU+n8v87Ou/CTTaC2eRZS1nyNfSwtDmZTdHDOJzB7un8dflorKEQFkYckK19tkKINee6plZZiCbDQwmITRMr2ILUlv0/nS1b+hiRS4Trk+ri25Kc8aT7egB5cD9CWa5WeTtKMbveulfKsq22h7gdbRezd2z9tRsiNVqj6T9ILO7orRyxRMleFMBSefUtfbrdFoV2Oj01h62roHWr2kTEIvi/Rqse92r3JIbihTTUoNQXs4XCCoW9CDywH6CvX5SZZvOceZDb0L2oC7tecUHVK5mBfoXp/NJEWyaVVz10a7NBc8zyBUIvfMR40cQx/qfLT+G6o+8Li2oXqapCZ5nkVkiaEEv16taAQenlqXgn/4H7UZSJf6phrBltyeux6M5AQ9thygz9cgeF7JTx21phcMNMnQgRNvaHpGaz7zwfRcFfZ+b49XUMzVndE4PAqay0hJc6bQa5dZLwPl0SZqs0Czfsh5dUsqS0A1SFVWsalFjeY3YQdbACwetDll/SXbU8B/aoh3goNmiWuHcoA+XQiweiHNr9m2bNQ8y/+UUeYSPFNQDoZg+dWXcZ/56DpRXXGfFZoLNamNXU6xM50I6HGOXJ5tuL9Z6qPwEptCuZCds0dR16UpcN/XroOsl5Q0y5VVhJahNUENpr86JnT8QpfkBD2HHKDPVp+fBKYlfhKWoMSNKkbUGCw3vWl5DzIPUIMmTCGnIv9YSta1ffm/zsdKy+rpk0MvG536yDNSyZFl+BHaa3t+pkDpPI8DpfgM2mk1mzNXiZPLCvWvwiQUn14Ox3sJQXvg7BndhqCht01/iWt/coA+WT1+Ul6hTitMdbvnmxwXmTaVgLmJIEbLvVjZT77zayxJl/iGy1IcVWHqY5hPwC/UUMtIaUULk7VmviJ9/A7q9WaWuRpRpUt8lIR4sl/v7IF7fVVHamo0Y2n3Kc8vXlesfqdutWsvqYgwt81giWt3coA+V0iVehn1vtG3mvoXX4L0kod6gGPg7JfFLtIaaz5BJ0gyZ6BWluOp0ZCIgyAE7nwqLEcxGWT+jf5B+2IfOAPZ7gr8+gTWONZUPQb4n8Zn0ib8rzlw/TSSQ5fvQRlU6/ijrtKI1asOQWNFUAfoIeUAfa460xEzGEHXhOGKsgkbvw5ZYNK3tWq6Md0+oy2xOin1R/s5fEE5kBkv7e6BGrEmHV6buk859fkvZ4U97X+Q8l4eLYFOXb42oR+mIKlqU1UygBAUh0P1U6ia4gp08uuVnrYlTUl9pj0PWh5D7SaDJa69yQH6VPVSJ1Ezho6N5R6lLSKva4cQRmniRo8omUHW47PrirjMjEXMJA9YScrTcUxKHaCBGZOk4+cuhNmvdk+xd9adT4AKoIHEHAx5aIDy2G3tbKnb1FGCep7oz1KCff2YMyZU21kdSzTn3xC03qXzmV37lAP0mWrwx2G7GcOu7h+5J3GjJolFavrJL4iczU1c8Dm4/eraTn6XldBYsjTxqxAaDkGjidhRoKiPYDg6qliYV13dodcEldC/9D+FeoY5Ow9IZJONr0vm0epL4a+rJaiYUEXQCAW45sxbgtZN8U7QA8oB+kS1/Iw9fsq/2pJQEGp3l0TBIdoazMZ+9vkE1TFLMBuZ19JzCdfxy5IHtP9J+cGgwuNOi3yOlqd7hyeVikv5NHKeqgXJ1jtU/K8rFqS6VNlH0CtlD4VFXTouKV89n4I1oaZYKUJ1o282UJu5diwH6POkKznze7lDdepN5idYMrQMTGkwOSt7d1T2svvk4k23UFkWcY4hRRhVTK5F7NcKgJRhP6t8ZGawNrJW3dNtjkJ1nL2d7JAes5o21p9Yr1dwa9FnCykZVZoDq6+/YNecX92ZCdRCaIqtj+/aqRygT1PDz1hsWh0PmrstQ7Ie3Z16bHJgXxm7Fp/d+67HK0Yf97g0GZaZs6WR/YIVorYgi017wGKzQzCd4sfnNlJsfF1TgvpI1UHqvJ/mZJW1tJUQ1VeZu862BMXNNUG5N4Dpj9oQVC90C3pUOUCfpS4/84uWn+ZOSz6nmv+MkzZ16NNxn737UDWKmGOV5vTQRNxtOBwl5hWkWeTWYTvjd5xtxxQAACAASURBVDzX+/povuNzq9MF/Z3WFSgKZ/JtaOgaB2u+fnMOPOCp+iz1bJ2yRpfTfL1CTW1H641ce5YD9EkCWMtPMNmYchNNnZ7pukWgOTcsitqm904Tiz0VEKxNOaFmx3bJGTctLuWUqOROdaZ2mjRkfxYD61A6cIXVJqBrG+tK5GpaThnfZbfFP2F0PMjdyBqujgjaifbVeyfo4eUAfY5W89OaFFP3CUzPgP3E7W2d1Om5VFsjxgP+kT7vpU2k8Zm4adPS0wCDy23pRwctnSrVNJlzmByjtD6XEUIjW2TZzm5qvDAfi79242DNadhAPob2JBuCcj4BQ/7qbOSSEJK2n8sBum85QJ+imkwjfmrMAleEGaRh/6C8vB7RNOc+1R3OjKBayHJ+go2aWF2ENZ+wQUjBChLT7m6eC0uus1rf4Up/z6aqFGofXftQdeJC3tqUyiLzWWwwAKGeMT6ItZSda0SCXAjGjtqP1Pucrr3IAfoE0QAXoUlGF/m+oG8bG2/SnanjQ8B8cnl9Pe3xsPLTeic+FX3zSqwLVVLPyFxtPlLnU/YhRh2VmgpVGIB5gabSKaqzprN55Bi+8Lo9+xqheBoc0kfZQf8SdSwODZqhJqgqqvw09ldU9bXRLegR5QDdWEwCe+fRnZLHDIYo92ws/CwLlFUTfNpGeQBom95NqXIqCj6Fyio5ezMbPegty4rO56yORh89mMO0cfDQdEoJlfmEZl11Dr1zNV9tE8g32fv5hANVlegfR52AOkReU00EPUfQsrcT9FRygG4ovruDvurFVoq5o3k86rsLsVsSYuh+h7bmrtNzyTo8RpmxWvxX9TmvG/vtluaI9aJqv66JFGTalbMMtcftVp2qRQPTGitsdhBqh+6XDcswVWFw54uh8qpU+NcfrEtQMHtXj6xq057V73xG107kAN1K5dqv+Rmj4Wd+wznUcXlErol9U3cncgTMQdrKz6gtGydFsgEmrVTJMpq5mPSW9Z7jRdbn1l+KeSd9SOt6g76qCLlH4v6h5VvU9rfdqofQlGxgCrIMzGrFSmNPy08fKoLqPCG81RxBu48EJ+h+5QDdRvoGXOYnz4ZRMoqEUqNG3lBy2cUyths3aPGp5npTg33a0xNAR1UbVwFomZ+N/YyaauONdXFQBnwOWTrDDQ3TMsq0qbBsum/VxfQRClCebxXfTOtUjOpH4+X1T2PPRy2L1ZtC7ebTtotcO5EDdAvpq17i7rxCNe0SWcHcjIS+IHZJKgEiBYpsYnintutSEBwrh9RCUc9jobxuH3DD98VOqdi9d8yyfXUuYFblv8EKLF6XhM1WkjFKUjGByanElRzjk9OvuLOX/i1rVHLttgnUmaByBF1VE/l50/0+nKAHlAP0YVU3pTag+g6EwFGf4mdeQCPby/1d+hDGUqFHajp+8uh4CyZ7glGZLcRn78y7C9pPqz7CDI9qxo3ftH3xm/FN9Um0qlxxpmouWvdALSlAzY69xw5I2n9rYtUfFV1YtFYEhVJZw3vXZ2BedOYydYDuVg7QB1Xf3cv8VPchO0OOQqUILBmq+7uO3rNHgnakZAefinjATR8tHJcXKJ6BCp0tLHs1nDPVBM2pdIhaqS69txN9d+JKZaPqvIOpHzX1qxgA6JXWbBaCmgdKWz+tPzK+08SXnNDmj/konQ/s2oMcoA+pcWCr+cl3LQfWE0OQ7nRKuznIusTHhin0uKHfxRJlS/w4QND8ApqCnSE5l9Kzu2Zske0e6wxnB6ijJwJtwEF+k2UVxxiEphjK/lLlFIVSMBNUITQvqKuooyUoV+RUZboFPaIcoI+oxYBaaPhJ9WlBOoHSKu6SKQlCKV8yrdT3kqn8RCs59aYbrt4qwESKSbu3Yxc/ylUG3erUK6Aurt1sFqFi75bLHhytY37ltzCtRZJo35xOMaZB/WoIv2aeTznZcs6Kgi1BTcsiVc2UBTIzJ1XhdD7g8nfgeoccoPerD4hyHyl+xsD1mcYUQWBK4XY5Z12kO0h63KMUPjF1Ui8tcVOhAOaEQg9rfIqqEA5tBaFli1X0VCWNF/ROP9TDVW+Wjc+bCkZ8zf9KqxXvWM4D+NPHWL6Mev+KoOWbbggaK4J226ekVrzn32/6FlyvkgP0bvVjZ3MrKH5Sk7qOErGFQoV3XDlJ+eb1EZT9BJ6UuH8CSkEGMiE+Z3pfauzg9obsBUzz30mn4HqnBkTVqjuO0RxRv+aHRpuiTn04jO7r9iRQqe6D2b7sb8fjlg9WA7QiaFUxaglap23SRbv2JQfoferc5i0/xbQFghHvo2e9lKL4Ds82rAJkcZ9MwfkAWcoz+Bx8EIDGzTZWdQU763pJpdA2vMtx1eJqg4XjzZ6KPS88uWkCw8fmK8sN99MUTCl0LjCZbwHk1zaPQPktYZGgpmK0all0C3oYOUDvUu9qVvMcWX7GwLQsWyLPgr6HGKP1iqj4KSZyyaJwBEol96akZLtZowqqjBexSY+v97fGdSy7RQHZzPkPNH+csr9+x5+DC5aF7WePeeop7hkR6Re5rrhU/TSZwGCfdoLSLkHNWSmkugU9qByg96h3MWsfUvETDD8hsH/Rfe6p2Sjw4CRlCkvwDuo+a49u3snpNP2cKgx11lRlqZFQN2KsOcnaApbnRs9z9Y+yFqi9D8l1rGR0e0eWn4r7Gsg2YdKPJd5Ku1HzUZpqUDvGgg/FJ1gTtP2JRx/U9UY5QO/QjfyMFL4JKnTvF9ol38uh1G0We6QqP2u7Yg5u3hUKlARDsQccDTSoFtHShQGXt6o5EHQ+kNp4VYEDnNa1lkn6WSK1BnYvdWCaEEr6lvHEpXpL+1OWV12C1r9UTVDg1w7QQ8gBertW8VP5TRvd4w0LxrawIQUuvmCtxWe/7aW8IQND+JTMlX2PV86oKh2oKnJ+Oo47xUfEk52f8uNGdlcsVZZXttAVFHQW9UxO5V92qxeqlsUIQWcE5AeWJii+bAAaQxgRVL9wgh5HDtBb1b2bIVZ3gty2IepZ4BGe1S2HYTu3uptbUdlPdazh+TA1qCRKmzcEkB7+ZJfN1LVuJgJSM0fbYNv7DgAqsXXXhBpMVobVvOVxoKVdvpw5VPWg/LIlaLQENbkSCkD7BHWA7lAO0BvVv4prJ1EcJIhLyf8GUDcHYS6Kb6yr0+zQo94JWHyWg0ae/2j4OZqmdwandm3Pvmdz0lIdFM9sevfJQNOu33p27cajeqv2wLrroJ4uUmHNHXpNqenf+uEXuwTl/7QFLbWiemPX3uQAvUmDm7iuyyphIw8bpPYKxpPiJ8fXhsH4V9GziUib09H4BMykMbrjSghaFnBVXieaf57kQ9Wh7WjzB4gOMpAAYqw/vzobOUyLUP4RQ/nRpK2+IWhe3D7/OgQt/lVdFm5BjyEH6C0a4tO0EGl+sleJfF8Wi8nwKJ5V81PVfsph2nBbnwO/4G6Wg8oGu0ZHrnVt49Ptpz5Anu1k1U6POFGpeoW6ZwJvYbatEBo5a1YAzteKTM49z3TNN++wiqAKl+opqh7KZlvXruQAvUEDfhrzAGo7qddkflIFWrkvuZGn4mda1IveDT06L3MSN8y31OGM+EzQb2VlNY3mk8P3TvnSwf6OfdcftWT3N2F9Iafe2s7ZwV8gbiVpDHJbG78fENQsti1WclT9X2w7PbVvXe+XA3S9buZnnOg1dqEWcvE2MOmwje9SvJs61sW4JGMi6U/qAY7Ybr2LrttrMMVR5NJn3U4jLw/d8xtuedehgwJi8ZoNSvXG2t/LA1BVmAacfbolKNxAUH0NxS5AnaC7kwN0tQYXL0SmD+gQDPmJ9xrxk9MYc1mhTBqnTKTBp7Gf6mW5A0vdKPBowyqSVPc5dNAE7R5Pv1GH7NMkW8bovQwtvcjMY0hl7LcHAfOFT/IkU09FTPHUErSY0BmCMpB5ByfoceQAXasxP6NAsfafEqynG2Yq5QBDUGrZ+J4JBp+DxvfifthCiTeq6j5NBWfboamgtVq86hu5VwtUtGDsMd+Udc/JimWvGMzfUI3Q9E/p0KDn7SwYThfCNF2m+kIZeVDQm8RC0HIxdHDsAN2bHKArdTM/QfMzYjIK2bTUpum9qIt3B59Ns0OWpGJLBwkcb5YzUMazk4hJ2681H3UjLQJP2nnswjFH74BoeaxULTr8bKqrONK/Ar0wKYJCtd9Udx3j5kB7krYNi8vgQsth3YLuWw7QlZoDKMgr5T/p1gScVVOmhqMtW37KPbvAz1JXF9ga4VhDbvGIqjDo0IAXtyXOftJNtA51xTR3oN8H6c0Qlc3r3rLy0GmXlmNzxib1kyNCc1/Rpj8BEdSSdYagbkEPIwfoOs3yk6mo+RnIgAYcC69nt5VkvbRIYvG8ttfxpVhFsU7sYASUU+DBl3q+4D6E7Ns483ZbrS0b2g9cb9Ah6WKd6eAgULqb2YO3SyXqV9a/gA+YoE02QPpJbe/TSZ2L+bBO0OPIAbpKN/tPbgmn7MhQSgGdj4K5KTt37WcdautJJ+gPZXay9+2C8+x8sufi8xa66d1mdmxIegtE7U5lT03NUpxaCfVg18LiMEkNjToR/lHtz6NTPPPu+EaO1RLUAborOUDXaMjPaGr+y40n/OT0PVIM1GOOJPFH+m8en8Xo6AV5gDaYBHhmK7Vk6ZPtBZ/N5stYBIXS1QwF9YodpkUfFaeblvjRN00KnmqPS0lfWE4Ef9YqI2iHoMGWphjdOWnX++UAXdbwdiwDSCp+cqZPnsJNIjOo+SlkSP/O1n5K24rFZwRMsmZr7HrWs/8J1nzODXRH2Ws/Q7sfUCKAW45RudhQbwKqRYf/XBis1ieGi/xa5QhEUFggKMX1xQu7Bd23HKCLGl6wVQBv+ZlvAZxBV9VsAZgFJkBsxm6ag/PGtpEoYt1nNWtkY95GDtpuOPqcG+i+stu9xh8GOuIZ4c3MIVUJjQklqQk+yxMLgnWIE3/zyqDGbEJVkx4dUJri9eH1ZKH0xwTx5QE9+7W43iYH6JJm+MkGocr8ICmM8R4stx+1GBUfo7pnz/OTjSuY+zetv4A+ds2XWdP2qtvyhlrJZs/u0paI4yNwTG620zua36Bmq9QJqIPrqHoqxIv6ZyijROXfr80I6gDdkRygS5o1oHRxW35ytoiQezKpgLtk3kEk6jixh0/FT3Ubq/svTBfFp471XP/BnnZXPlYx0AJPwuYbClZbt8CV2eyieRZF9YUbi0+9bXFlirhL4qsSTpQuuhzh8y9c1YOOmuKh9NuAl/1WrpvlAF3Q6GIFNqD1JR544oagk0SGmp/W1vRaj+SOCtr0KPeZsqQbk6rKW8JLA9vZre/XnQUrgzg3F/PNFO0coZwlUMJkvU95pc5D5XhlQ1rNlYqeV4rCbZYIap+Dqm68JqgDdD9ygM5reO/Gwk9jXJifV3pOip+RbztlqWSXMMdP3d9T3cOS/JjfxrJm+QaD2beb6VaT2A3IF8q4iaKdjTmQL5GCSdKkn3LShgfcHqiQCYp4dFmEqrtZGdNp6gSqT0p5R6PqOuwE3a0coLOa56eqBpUV5b5S4yolHSgIFBU/+6mXcAOZRTKquy4VlSY5L86pLF91b1UR4dP4Ob92iMxmw+Uj3UrRdqHypCBnF82H0DWo+CKU0gD0aDPBrUGoJqiKJMpL+qcmqAN0t3KAzmqFAbX8JAMKNCEu34p8Q+FWwe7R7f2J6zgHeiwYye+CTPMJZvkdn+pV0TvUur+o4Vbry223LI8nmfeoLVJthNtgP18GK6cI5W2BrSovlYakNQR1C3oAOUDndDM/gfnJ1WSRI3eVps3ws9R/Ngew9XN0gLxm4vuyjh9XfahX3IqzXYfu0A27rz9ctaH+GdVZg21Cgmr3jFtJhKfiDsALQdfbaIJGVddqCcorDY3tV+AA3YscoDOa5SeYOlBcTrlB8/hN7kuPpQSDQM3Pfut7CROpYN41YiYLmfztZjjBzLt7VZvLNX3Ybz7EXae0csP6GCrPJ30iXclctsq2MxiClp6+gF4STFW1dKjXBC0nKr95kLYmt6B7lgN0rOFFCuX/hoZAuZMhaP+ZVgVhoN4j+ZcuP1X1ZuVEI+bF49vydmP3MD+bULw9iefc3XeVupKjUH3J+PXq9UE1wzcsvSL0EtQy4AZDoqlqeOdq0ATIEUHlUimxv1vQncoBOtaMAR3xEyw/wfITwNwI0B+8WZqYTJBOf2jSjpnZ3uc+URW+rzVoN4Xir6pUvW3X5XMHUN93pJ+vKoLyDVgTmv6EGCTFnZpBkAtRyeW5L1Ouyi6lB10iXTQVQd2C7lAO0KHmDSh7ybJVqPjJvKQBnRLtL/CzVJHy7axizNxyMU3hvtsHZt/K4tt42ex9z5mtLfzR/Zc+U4ZkedNhFqYeKI+i8oArfVap7S8AERSoHzBuSgTN2xaCBnVZ0GFlGIYH8fuVA3SkBX7Gmp90OwSQ6RrpVgjFSpabA0qLQj3vplATmyBKa0xIXZfC9N2OY1yHuzl+PoBMW8oDe686wDalzH7SktaqNqFlC9Otns5M2p6kAR1KV1H5UVVy0Gho3SWoB/E7lwN0oOHtJSFcE8DTjJgB9DZUXSm3hbojGn6WqA8TI9uIEofJzLfPzNC0em/bSDbi0halvPAgw48ujXg1tOzPUee05vAeuNGJ5rXGf6RXEv3qeIA+QctT1lhQJ+ju5ADta3x1FgNa8RMtI/OTp9y0/NSOouUnTc8BsqW6X9Ocj3FmWGPvTDUc7X5rZ2C/Ra+6oTc4jnnOhE7CJnwbAEIVxtctSybYKAiNQE+6EEqkUhH0Cy+MqRQnvldVrVZPXX34x78H18NygHa1hp86gE8vQywDUyRFD6j4TUV7sen9yaF6ZBgXfNINLXWpN38YBoKQY/teRq+xnw8carGmo1rFIXeYQqpzhmhWsKgfPXcHNunusDNXnjDeEhQMQWWST9VTWC5Am6XEg/j9yQHa1fDa5Njd8hMDeOKn3AnMz/JOFVH4iUgrUb805scotzX3hXng44CqTr2zmJkDvPZmXn20eWYO96BXcjAwX5wpK9Avx+3sKgUT1YYHkKxc3E7PwQeEUkRUjVaFlDy1qxzYLei+5ADtacxPUPysAvian1yTVrmHfBd8FQ9SvGbgQJAX8ErgCtH7Pk2o+jzdDJUFPYPIi4dcWv/QJ+SHlryTIUUdA0/H4aan0pzO5xDKFFnsUPnxSUWVZsealB7E71wO0I5m/Sdd5oafkaongdp9yHLqJD99fkYqMEn4yw60QJRszh2fpB0VZKLRDTj6enrOHHbTRwOoMfElnkiyjyQ+Iv3cQa/gq0D60vPzlC8AynbAl1b9uGX0CssdoPuSA7Sj0YXJXBQLyouFn1GuceReHZOB4WeURREn68RbTiNA3OfttwuWUu/VKeUh6rzvJjZHfl7dBH2NYg6BK7Sj/pk4NlG/V15OHeavV0KZZxDXcId6IWiJP4zp5KBHPrQTdE9ygLaaNaB9fmbvYfgZzbTiqmeT5WdpKOKb0DZYyOCXm26WQX3dgl28A0Jvsp/q4M8iZ3uQqJ9quo6aNgNuhtcEpWFlgG1JWAQSVHqDYuAfGcr8mDYVCDHaK0neuN4sB2ireQPa4Sc1kHMOMrEawV71FP4Z+8kb0C2qb70cfwsIV98rNrhc98maAtYx6a34pK/nBcehP6YPWR0lxFL1krcNdsvAE2SptqRCUF5GrKbdpM6HLzk+HXUWW39W161ygDZaZUDt9QxTpIYCqfPXEzoIP9Ot1NpPBAHYuTWZzF0jOTxDy70V4ftCYXMcfRs+1Ym95BxKlFA6z+f3JssdSCNTfjtNslv6PybQ4tW4Y2lHFIIqo6ua5A1BTRDvBH23HKC1ZvnJ17K+czI/o2qEr/kp1iIt1vzkEkB7zbIwyFjptc6xel+vX1NKr9gOSJ8ZNS+dil32mgOXgxmHb+tbsKlvoi1VBsOICRJAATbqEUkqu50iqIpfwC3oTuUArTUfwFfxFDYgXYSfkXiZpmsvW4jpUN0/S6gGnZnTIDe86/k8ls56EZeP3mugSfrqG3fGDK8jOdymdv9yMNDfNpjjU7IXqgtX6ZQAO9SX8D6/FoJGQ9DSi0Mdwy3oPuUArbQmgK/4GUDFXsjPMOktooxMKvyU1VOQeeRlH6xPXWs/O3d8i4Dt7jRQg6aerhHQ7Db9nWaJuOqwak/d2sdGtFTMVLE8PS2FlOQi+XVNUK5FxVKCENQt6P7lAK00Z0C7FaBoKIJqW7pe7Zqf5caR5nd1W07q1pF9dKKehVukC4ehg9pCpvHkLjytO8oNJVf5qZ5xItp0RvUNRK6MVaQF7rcbyjqs1eEon8L48jjVBJVj6VpUA2kn6G7kALWaN6BNBSgHZMJPqPkZSo+Xwk9am3NY1AiknMm62m18tn1YPJOf3SNuCa91nrMi5ivscEkoYGLoXp0lzTlXzouvHBmuRFE+d6fvE1SXqPMgOED3Iweo0SI/mwB+yrcLVY41/lMNYFfDN2kBdn2qg3fOirdwQkN6diPacSk3aUVJNdpuKry7R03LfqmvqVDA0wlBfxNQggUGH/lNPXs1gCYo5L71haDAvYipqkdNYUDHdQu6TzlAteb5qShJCymA5x5+fH+Jw4RiVprhm4DDl6rgPer5c+ZOaMimZvmG7vOOXRYVQi+f3O0MfkmdLJ9OKNTE92oEvGxW5c/i8F2G5aaVHJQEqjKNTFDtSBuCVqtc75MDVGl8LcpdUQfwadkUSvd5PX46qGAPdPiOQSfU2ekAG6SW+TlDzye2Hm1NqNs96lKB2xU1dxTgY9U96/UGfLFMehsK3CXzVnpoGIJCKd60IxJvVe/88mkdoG+VA1Rp2YBWcRTyk4eR0C1Bg5vZsOK2KnwH4WzTcV41247PZ4Y5nTXbRe9blXNHdL+67O3L7B0Gj6UGb+LS8hJAam/s7B8Y1QfOFhsrgvJVg4CsemJoz8smNsbtfmHXPXKAFi0b0KruaUrXt+EnR3ZE3MZ/ij/R9gI3AUlnN3s+c/h8Hj8fRNPtAfndB3pu+eYo/HwEjtijZShWxpRsBpGiEgDpbJ+euHxpMEElF3cM1oJWBF2u53E9Xw7QonkDCrYLKFVhZn4y+Jif5DOZhcVlcCODnU8MD8Hp7OfuizkAQa8ScWb+ufVIuwN791VjbqEXIZT/LXF76dDEi6gKPP8M8mMHrAsVgl6DfHNxCEHBEJSK1kPsnaB7kANUNOZnqbfUG+NIy4kdA+Yft+ORaNO2+b2CksT7BtDNadSLLCoHJ76oBb6OW3cegfIT9SITSrQzrfH8wKQlQtAYSnVNwLrQaWL8TqFPUN6zfCpT6eMA3YUcoKxZ/9nh5xWd2YCWIcx58GVpBGj4SbtOoUIb7as9RactHfTrBlO9s9/kvjrgzfmiU6YfWh+uzInEKOXWRdXhgrupyQA0BighmLe0BKVFTtCdyQHKGl2EfCtUfINJonh8D2VG+AjlxtKzH+X3rf2M3Nw05idHhwN/17V8W9xV7/WS9+pVjUkcaphfU02KlIkXqDbHxPhBnpp5Y+mhgcCVGZDTLtypmCp/dDWoA/T9coCSbjSgmCoJlOG8XvUTyOrS0GD4SZbEuMnI8x2N+AnU2jtEfBefG9xUx8Rn0gtNKIXdaqEK5dMLnKwgsrtkgtJPWhE0KoJS/G+G9ELXgh72dzq+HKCkeQMaGn7m+0BmpM3BfPEKpfnd8nNiP1IVFWs+6xNouttXJ9hd99H4jLXJf+JhGIp6oXx3XKtJCV+5AygAZ4/lSV9KEG8JSqOXqNQkPcXVbIOj6yVygKKWDai5cLEXEl/+uZHADEbp8jNHY9Zp6m5/aqE+0vy9MeDEwzfUmxuCttCL4nj6p66Q5rod7hUcxIXq9kJJql+6ueFc8CBRifQvbQnqFvT9coCibjOgOGQk56HPC0LUff1kW8vPEKSys2zJg0869nNNe/YAn4/z89EC9qDXmdC6JlT7T67PDEECcoxfEK1ciy4elP8nT1v1lE0yFtQJ+m45QLMWDWhlC3EZGdDrJT0F1d+koFTzk7utKEBGrhFr+AlSWTZ71k+zn4+WsBO9yITWv2z5BkHGKgEN7aUR78DmNNLYNWVBqQpoojfS2MSXhlvQHckBmjVrQNXcGvktVYByAB/y2LxFflaoZEDq6IyXltbae0760XvpNPiML/ss/CzsHFmehMDTttC4NemSFEJOvy193TRBsdAQVbeOGNSHUpVFrrfIAZo0a0AluRgt4kbxif0nYJcm2kE2NdPHTVwzVgrmai7dFqBacBfd53P4eSZ8Jr3o43CNZefIIHU3WBXKE3BKD6V0LUHUuUEpdpcUNQE0K92C7kgO0KQ5AypBGCkbgEB1/Tl+7/HzetdofspknbQZFGeiDl4ajBZvh/k6h3t1gqajRi80odUXaH9YIigwD9N/F9k5SH15KAQtDUmwSNDz/XDHkAM0LgXwnRZ4CMzPFJbp2TNLF8DCT5n0SNtPqTgDXTC/XDrh4Rk/ch+dkJ5Zr0JoVR2ja2aolalMzkkrC0GnmqA4OJhjIH2puAXdkRygccGAVl00yULQzF+Uvk74qUbySbPqVDWjRm09VU3Zavs5BsJj9vORnfetV7XH111Cq54ZueJH2pXyz1/GXghBCzYLQUv/p8jBfSmZX7jeIAfoggEN5nKl/BA8dihEPb0DSJcV4AYk7ievjgM0hq8wFSxeF/l5x5plndV+kl5lQuua0OqhCTTcVwYhBWUrJS8TNU+CsqC6S1QEW9njBH2jHKALLUg2bTyNYS78zPWfhp/5/vjS/JT19G+xKcZW4M4P2M8H7qCT4zO+0oTaY+kIG9fJMzhvNgn/EhZ5SGcouNUWlCMcfZ2Yi8n1ajlA5+NhM20DNccHMhEBX4oBKKmUv77KnWAMgum8FNW9tvIemMHA/ffPGZuOOnrRh6waBq0/RHYSDPGCkSdw5KuwtwAAIABJREFUwqXU+xgPWjrT87+mxtwB+kY5QJcMqI7fYwngEaKTSthYmtWZnxAsPzEMUy1NulfTmuB9ZoO7b5/PoGfSqxqTSqUNvrd/gOeVi6FMxElxuiLoFBRB8UWMTEuIvWrQj/kh96SPB+iSAbX8TEsnnP8rrb+oYZvFJDA/g2p/4steWVKTV2fuTHijuQ3u5+e9Ox5RL/qwdmZAW0mDLOTGRiSohCWgRyQRQamOnZsqS/NjGB3A9UI5QOdWVAZUGt65LmoyATxdxhy+B9WyLvzk8B3skOY19vPulXP7fdhN96okTTyxixw2/ytvY8A8XgRJnug4PW9lQBKOhsdAP3QsqGlIcoK+S58O0FsMKMZSE0hSxkuPn3wLVPwsAX6s7+Oq70v/dJ7Bz0/DZ9ZrPrPOQMcvNVAhT+nB7ZFQCKqHdDJBGaI8hMkt6H7kAJ1Zbm0i5YIIMkVYCeBLLnquxcIJbEthYjI7/Fwm2QI+77txPhKf8VWfm3tqyFGjfQt5ahdptqfrI72gCwgUQbn7h3C2b0E/9Ad9qz4coLP8NAaUWnwSPymsn0ojkGTt5AGcdfxO17u6W9ShHsPnfbfNh7S89/Wajw7zBA3YiR67EktiWYlgYmlqp0tOZUPkUXDmWNEJ+gY5QMfLOwYULpLvo1SAlqzHQYbjqZuH+Sk2tObnwikurZ9ffVeZZ9erOoXaitDqwORB8398VYCuBgUewxHy/3QXuJqgXgv6Ln02QOcN6KSvfuRnkIHvYQoSOPX4WXooySASSQqhj7RkLx/Ea3+nO/Y5mV5DUBvGVx40ExQqgubLpfThYIIGbkQS0tZBvAP0PXKADpebGRDpapaBm6FMyIlGIip+cqZlXI1lCSsrft53gmvXd/fxuyy+qg4D5gmKz2ic47gMauc8XljrWQhKFpRQKX1IqSgn6FvkAB0ubg3oFABafpae9NKBqeFnCeZu4edjXZvuLPNz9BqC6jruAUFxTEbsEDR3rk/LEkFD1AQl51oOJEdwvVAfDdBZfgbd0R2v5InsQgSZyqZMUTPmZ3YXQUhaND9h3DLqbr5bPrrpqNUrvg2dS17qc9TaKdDUMHrUWhmJQSmZcs7ZKInustyC7kEO0NHiSQXweOlOQfVlogt2DT/jwB+EOKMVN/et94rTs9ELvhLMXqcfxnZtwE5KZdLBWAg6cb8NJCjVo0ttaXQL+nZ9MkDXGlCyCBcoAfzE/JSOTMJPdbME5me4lZ9rbuyb+Xnj9p+hVxC0+MP8viFoiLUHjRPG8BPwSPh8QZaWSCmoTKbtFvQdcoD2F2t+Ut66wG3oq/lJ/7BLNbVfYYafq/B5443i9nOg538xdeffehhFSKlAcxulsqpfDUEvZGX1/AduQd+tDwboPD9jebJnfmIPJryYaT650v+zJFDWiRrRf5ZGJn2Qmct81R3t+NxOL0CoPUqo1kFuTDLJYzsExam3QFtQQ1C3oO+QA7S7+KLqMfMMcpz5kwwohWWUgV4loLfZ7fR8nqv5+cC5DzZ2fC7o6V9Q1ae+R1DsN18uGI5opmAJGrQF1RG9W9B36HMBujqAD9hrKVh+QuFnLPwMFT/hRn6uZN0t94jTc41eYUKhXFWWoJmCONo9NgTFAJ9sapStuMxYGVIH6GvlAO0tvhh+Yup5ygZ6vVov/IqvV9UAz7vlS77PzzEk17LuhlvE8blSzzehUbMOqnVCUNVvlMbEB6CIhzrP1RZUVxI5QV+tjwXorAGdynvuijcJP6lWSuanafkJws/O0caD39de+Lfwc/2mH69nI5SqzflgYNcRHkERlLOKhFAIOlFmphKtt9Wg/qO/UJ8K0FmIGQOKEdOElzUEHnQHhZ8yFZgOpcCM59QHGKF7rf1cf3+4/bxNLyBomVmzbovH1PPUUoQbMUFjwNR3qS9IerZLqgX+Rx74arHrJXKAtotLF3qgnvNsQAEDeBu/t/yM1BzApZSDwYifq1nn+HyintzcZglqq8Wp+hOwixyehwD0eklqglJYxCUCVH2Z/Id/nT4UoHP8xDyN9H7CdqMLVfVjFlC6hHH7rx4/dZ9oYz9H/Fx73us39LvoLr2CoBx/zxK0XFtpLTUkXa8/Gk+so3U1T7wD9MVygDZLtQGlAB5bkDI5JzX+Q/HzS/XCgxJjxZqfvSOvh93mnHU1eup3R3HLgKD0aA4VQfG6m2jPC1pQE627BX2bPhOg6wwoBfABM+XgQLoJytDMTFLLTxB+toeq+gLqxY+d9gMlujp6vgmVDnANQXMaeuk7L51Bc0sSbfUdVBDPYY9b0DfJAVotVWMskYSB2oNwqEiY52ec4Wf/uDdc62v5ub5EV1fPNaH5X+5VXBMU6zmD1Bgpgk40UV0O4smnyv6q2mlYT+R6gj4SoGsNaKBMOoWfNNUs01LajxQ/4RZ+3nKrrtvU7ecWeua3SFF3S1CIkS41aTIqNeyKoCmIj3yZuQV9rxygdnExoBRRBekJmh7zQSpAofDzCxQf9WxyS/y86TZds603HW2mJ36TzLwuQWFI0EBzHAJ1aprM7sEM4vDL4FVygJqloAwoeU6azQMw71hkfuYtSisp3XHhJn4+fs52E79tttTzvk4haO0WQebOCpQdFKQlHgma0XnByeSDIai6cKMT9GX6RICODagazB6wEmrCfOA5mp8oPx10+Uk7reXnjWZxeWPH5+Z62lfKBCXYqQuFcn4GnP7AEjQ3L+U6+DwZXVULCpMU7hb0dXKAqqWQ0jCh6Pkf6DlPAXxUdVd8ZSMc5/jZswQ3XuAr+Hlbga5Veg1BrQklgsY+QfMMdJjkjjLU855uQd+hDwToGgPKgRTkUXIZoBNIAI///1IGVKo/o7mKy/HsQW+1Noubu/18kp71xQpBg34bmal0xSFBy3WWmJkJOuWWzTkL6gR9jRygZanlJ0CZhwZnhQtRZvouLUhRLthQ0kDU4bs95s34XNjem46eqWcRFKj0UF0gNP879QetCRroYsw5aml8Me+pcik+77xdVg7QslRa4Lkj85TTNGh+Uoxu+UnX67j7UsXPTc63rPY75bl61vMJuPSKd/QeoDySS11REIJijloTxF+kZCfoq/R5AJ0xoBNf0/gWDWiGJzYmyQrLT9x/hp+mjmtbfjo+X6HnfMscxte8Y4KWoKbUtqdUizg+7hJBcizSjm5BXy8HKC8tAXxlQKk7U5AG+MLPr1X8tK2sm5zuurWuzfRUgoaq72ZNUFB5mVI/O2xJmvC1DeL5gQ1+bbxGHwfQ1QYUeBxnvpBxYiSJmG7iZ3l7+zU9u4fbz9fpKd+1WMdoiMeeFKhfB4CyoELQC+TM35ag4AR9rRygtFQMKEB5O2HXJOQnpcAx/MQK/wE/6y4qd1zQc7s4Pl+rZ3zfJYrvETTwrFqaoPhkn5QF1Wc2OUBfq08D6KIB5aAoP9wDXq4x8FwLscfPGLvZ56vqz3vuv/Eu3vL+Br2OoJROlgiagh8a0Ml1SwmdVwsKl7xhmaPOLeiL5QDFpWRApZkoRDKgmZ+R2j6pdr7iZ3f2Dqj5udnJxvtg7HpcT3hsVQS1QT1ehJmgZURnxA4hSNCJ+4awJn5wO0Bfog8D6Jif2G2Z3iA/878TXrBqsi/bAJ/ZW2Oz3Bf18sdP1vH5Vj2JoBKKC0EDLeHucwWgANQl+eo/A400LsWFgmS/Tp4vB2gsBpT5ST1CsZ6pxFEErpafbff5mp/bnav7ijdr88eXIqimXohC0FDakaI0cKZ60AvOEVsmNo5uQV+szwLosgGlAJ7SJicDit2XQsXPrzX8pFb4++znYCe3n2/X1j8BNzbqP5E6zVFnJktQap6/Lr/kzsqGoFKf5Bb0FfoogM60IBkDirMnTFEmmZUmJBXAS2sTNOVbfm55qo7PXegZJhRiRVAoYX0Of74qggbMDIq96fu1oH61PF0OULxwJyhXceB5j3DEsXTHS+vX8FMH8HcSr3+mfj/sRZub0DhP0DwgThE0h0VpssOJJ0xwC/oeOUCp0hPKNSwGNFDjkYxJ1ult1/FzuxN1fO5K2wYDHKvgVaZGZFLXD01QsqA5aArTRCvVhThJ3ZED9On6JICOwuIYsSqekMcGNEM1YAWoJHyga5i61c/wE+B+5nX5eV9Rrudpa4KWGh87pji/yJA0BM1t8dPE2UXUlegW9HX6eIAi5KZiQHM/ZR3AAyfMKQaU+akDJ/viAfvZ28/t5x615a8yR1CwBIXSkBTjdwqTONEiyS3o6+QA7RrQwE1HMggpVvyMC/y8P8Rr9vOmo91qw18G9LNX8ixXHvSrEBT72Ef4loHG5RoMXBngV86z9UEAnTOgNCQzgnQBDRjA50CeZkPkHkzAQ5AC1GXzBfvAhVvv6ffArvU0gtI1x0PjKOYpnZCZoJc0wUeIqjddpGkU3IK+QA7QSPzkAB7Hvgcc71Em8qr5CV1+6lI3OUvH59613S8kteZYYuDSgVuSpB2J3WWO1S8BZz4M1oJGt6Cv0OcAdIUBzfwMuAAogA9V/M78VI2lDT/D3Vdtfb375X8AbUYp60E50wL/gwM2FUGp8jNeLhNwoxJp4uIcoE/WhwM0X3IXFS1RC1KgriOBc9RqfpIjGPNzq3P0q/8oejVB8wYBeMqu7zCwoB7DP1ufDdB8xV24BZQ7110NKGCdU4CS47viZ3g6Px2fB9JGP5YATwgqFxwmZQjSkMlP+LR++qbEyx2C+lX0VH0MQIcG9MK9R4oBxQHwuSGesyybFCLd9nduPtqGn37hH00bEVSuI2xKUq3wXPWukoowQUPuzGTDIk616Bb0qfpogOYa+kkZULwAL9ivLgfwE+2sWj/TXlNTLnCJ99d/2hNzHUzb/GhgrijdCs8tSiot0xRpEuTLJdCDXU6CWuL9SfxcfQpAVxhQ5mc2oDST3IV3VoETxGH7OwwOdOMZ+iV/TG3CqhFBIRqC4qN6olSgF/gOPGqe93YL+gp9OkCBJ/LIdfT56vtu+Kl60EcbwBt+8oj5B0/QLcNxtcVvB+bpXBE01S2p3vRsQa8X7Te+shY0PjKiw7VCnwzQUAXwMfNyCjiFR2pB4t4ghZ9UeV+VKhB+/Pz8cj+2Nvj9GoJKW1LMWUJBE5QaPqdAFrTULrEF9UvqmfoQgC4b0EAt8GmahMxPNqBpA2VAe/wUCD96fu4WTqDHf0PbQgnUGg/cMm/y2oXIFzJZ0EJQt6Av0AcDlOaVidaAXniEB8CF1il+Bl0BKn834+fdBbj2pK0JCpqgZTySIegU4Bt3rC2oE/SZ+lyA5tr1ST3jjQFNYzh5RLHiZ+w0IHHt/t33DYD+4zq+Hv0p1f4Ezfx8Rq4mmKog/oLLIITpUhGUa6DuHxnnWtJnALRvQLnXB3B7fI6EsgFN//C6crWO+Tk6yPqTc3yeSg/+mqozMdWDclf6GFVaprRKLCiE72irQTmJg1vQ5+ljAVoMaFoZaFY5NqAhTlPDT9DhEBR+wuP89Cv8bHoQWjVBeTCSvClD4nMuxpz2e/quHvLci9kt6NP0EQAd8RNnh41iQDF3HU4HHwB0AE9bBcVN/gujY6w9NzcI59RDP2tQ9aCgCEoLTEs8msyUNux76lhQk2bEta0+FKDUDZn4l8cW4UVIEJ1CNPxMwVLgmWbjxvy8c1fX7vXIT6vxCzyMkwgq1aA4FD6wBYUwTabSkyyoP6Kfpk8AaNeAQqwNaG7RRAOaOjDhupX8vPdW8U5659Yjv26foDIi6asQFIP4/Pi/oAVlgroFfbY+E6BAgU5lQHMslLLTTmANKFBfEqhKhDqiv1VeOXV23f8DG/gyQaHkWc5XJja0T9jdPvUeuVyoVgjr1gmcwQH6JH0AQHsGFHPYREnRQAYUh8NPOEB+DT/Hh1h1Zn5Zn18PjO5tLKgmKBQLGtmCpvjpQg1NVLXkFvS5+kiA4tVEzUQY8iR2ThQIgcwxJ/F7Bujm/HT7+RG6+3fuEDQG6fQBOohHC5oIegmaoG5Bn6zzA7TDz6gMKF5nF2zGzBXyIQRaLpnDnsBPr9j/IN35U5tESnypBp6xkwGKBoAIGrgdiQMmTgjulUXP0UcCdGhAE9UmfJynTQw/mwakR/jJfaRcH6L7ELqSoEBjkqd8VZMFJXS6BX2uTg/QUQuSNaDUhJT4iW3xaWnhJ25tymsM6S3nBHebEtdRdWecYt9QE7sJ4iFfsAH7y2MEpYN4vlAvD529a6BPBSjgNNvWgKYhSBTARxXAA6h4m/62GZluOyXH58fpnkemzYYMdGFWE8UCgjMTNNH0QvN0h6g46hb0Ofo8gEpihsaAJn5OWBOalpaMN6UCFB7n50N5R1xH1gYEpeiJKjbFguIjPtfjhzQMxLQj0Z+pLtu1gc4O0PaaxTFGIcrouDSHR85Mmy++JoAHio9UaZ2MoGtP57Fx865j6/aGw6qunK5EsHNtQ56EBps+0wU80WSydNnS5Tr5VfcEfRxAuQ99MaBhYgMauCk+lgAeYmlAqmxor/hVZ+NX8ufqQYLS8z9yIlu6SCe2oBjFh2vAPknIz81JbkGfoI8DaGNA85WWDWiOhAL1WH4CPx8dtuQ6g241obUHpUFyWKXJl2kIMo8XWtBsC6TS1C3o03RygPb5idNtk9W85OvxkgdwAo/0ULNv04w0Uti9/Hy0273rLLrxsVvtQUE8ZbaTdqSA9aOB2uHJGBgL6s1IT9CHARTYgBJBlQGdEKC6B/0XdWAy/Cxl3nIjwF17uU6p20xoRVBxlbqm6Yuf/hjCY36mKboFfbo+C6DUfz1IhkVsgU+d5HLvOQzYSw4moIwjUhQoft6CQui+dH2qbiVotzOTDeInaofHwXTp9UUueLag3vl4c50boH1+agOKiT+nNAApQDWE8wvUNcet53fw07S9+iXsije2x88R1AbxeHFPGM8rglIzkg8f3lwfBVCepTCULkwXysWEBrQbwJei9IW8+lKsB5O4XFl3E1S63+nq+q8wRerIBNyklIJ4uubdgj5JnwRQZUB5li5lQDkE0j1AbQBv+HnXKfjl6ypaT7O6GjTyKDrVYaRUQaWe9DiukyxolJEgTtCtdWqAtvwUgBIM2YBOOIsHXpeDCtB7+AnOT9dYtxAUqncgqe14fiS0ANwTtB/EB78It9WHARRiGdmerWeeRzvVH2ETfATNz8BNRjU/V16F1ePeL11XpdUP4rhM0GwBAllQwKFJnNjBLeizdGaAdvmpDShNJpPpGdiABuKnMqD38nP2rcu1Poy3BMV3IPmZ8Jk/UUrlVHWPw+owRyPaBsqB5xZ0W30MQCWAB+mDjAY0j3trAvi0hfAT7uBn0+Dp162rp/sJiha0XLQ0HBkhmu2odAZ1C/osfRRAewYUr7oQaMSm4ic/rO/yn802ftm6+lrXt6gN4jVBuR0plrxME/UqYYK6BX2KTgzQWQOaG5PQgKarjg0ohMaAQqyv3uULsL0l/KJ1jXU/QUNUBI05csdxynCxFlQyODlAN9WHABTYQ2LlOr7MBjTlshMDCsWAwv387DkKv2hdM1phQqHazhKUrts0pyyQFbjQ2E62oBLD+8W4oT4FoBKHC0DRgMIFh77xrNvCT64rgtv5uXKZy1W0kqBlOwIodR3hvHY0ED6Dc6KsY9PkFvRpOi9AGwPKEfxEr3Aij4BDh7MBDaUPPadgupmfXS/hV6xrSWs9qHkrycMkdJry/3ITKVlQnO2rABTcgm6oDwFoY0Bz/vlsQHMm0PwsZ34CJVyOws+1AO23B3i7p2uFFi+TjgWVIJ4b4jNB0XjCN17suVtoVAR1C7qhTgvQngHNAQ8lo49sQKdIT+ggY+Clnqjh5/xF3l/pV6trne4lKBQLGtiCXhexBY25YjRys6hb0C31CQA1AbwxoOGSU3hjj+TwpQJ4UHtWl+zwiM5P12NauFZ6AI0yuQIlZVIE/aYue5iwXq7rAH5VbqazAtR2+CADCiCzIYWIBjRlYAg07KjJYXcbP29a7HJ1tNAndGBBQfcFjVSpf13zjcORigWlJMwh+nW5lc4P0NIMpABKfeQuqRs9ZQcNi/ycu+hGF75fp67bdAdBQRMUa0Gxcf6bp0hMk8XnIB74PvArcxudFKBdA5qiHTag2KE+TaBN3eSm0gNURiDdwM8bl7tcI91AUHpHo0C+hKDkPOESiKB5uHLadnILuq1OD9DSDqRqQLGXZ5hCelhnUvYC+LX8nIm7/Cp13azZML5bqRSsBYWA7aIQLrm+E4oFDW5Bt9XZAara0UF6dWDYzgZUB/BR+Anr+bniNFyuG7R4SUG1YUXQPEeiWNCYp+oGnFIuZAvhFnQrnROgGntSnwnA/MzUDHHKvegzYieexpjnjYHqSh03Ejk/XZvrVoKCTiqS55XDK/t6iQe2oNSOFCLF8H55bqGTA9Qa0Cm/BOwCeg1qJmyu7BhQWBvAL0ZbLtcdGlcLQe9PbUFTHWiOrZJJ4K5Ol2JBPYbfSqcHaM+A4qSF00TTv6YF0gOUA3hbzuBiW66tcrnu1G0EnawFBby24wUv8cqCQnSCbqRTArQxoAhQ7ByXa0DzjFvYX67w8yvKbB81P/vX2or2UpfrXq0iqGyEBJXOoGmaRLSgQAPmOVETeC3ohjo1QDU/cegRG9DUoWnKc29laAo/o+bnggG9Z1iny7Ve89VG1UUKWBtVutNPmakXGSkSKL6iaN8Juok+BqCNAf1OtUQ0fzYBlJrpY7DFdC+0hdQPfmm6Htf86OCOBZWsTHlGTrSglO1WCArY0dkBuonOCNB5A5q7GacuchENaIh1AL+Cn0uZc/zKdG2i2aqjeYKiBc1j7QLN6pGn6XQLuqU+BaBoQHMEkyeOCRMa0NxeKTmYBg1IzWW2dN35denaSHME5T+2LxO5gZBrQTNBU347tKDYAcVrQbfTiQGq+EljjzCnV573IM/FqfmZAnjsHUc7QVWcKt/56XqZutXv9m/pyxRBx1M5iM9mYepYUG+I30InBKi6qooBDTgcIz+CAWfcwknhpQsTxe8UwM/E74vXnF+Urg21nqCUgV4Cqgmv+ytBqRaUCEpj592CbqBTA7QyoPmKyRcVfPOk8CBZlMmALvFzOb28X5OuTdXrVD9oic/V+zwoJGCqnOuFzRY0+1FsOKW+TX61PqjTAlQMaAbpxAZ0ykH7N9CcnCWL8oCf1QW2jE+/Il3bazVBc3QuOUXQLUBO+sDXN2AvlDKdkusRnQ+gFT9rA5pAGb5pGo9iQLkBvmlA6pS95vgu15ZaIGipsE9xlbagmaDGgub+9G5BN9JJAVr+iSX9Z8wG9PrmakAv1KXeGtD5Dkwr7Kdfj67naFQVX1nQaIJ47kWfCBqMBc1VoN6M9LjOCdCKn9IEj/y8Xk0X6trESZgG/DRX1yp8+uXoeo7mCaosKEhqZbGg2KXJWNBMULegD+t0AG0MKEQxoJSH/jsnprFj4ClhTSmieuXhu+vNqh/OtiW+F8Sn6xybja78BOmmlyZNwku+qfF33apTArQ1oDQfEs3jAReIrQGd5aeH7663a46gqtuyHlw35VF3eZ65AJUF5VpQv24f0CcAVAxoTo2Y+oCiAeVpPPChPVsBuuoS8+vQ9VwNmjQrgoJqiZ8CJhBHC8oEpYSObkEf19kA2ucnGtBc8RnQgLYB/LgCdGGu2WZ7l+tJsldin6A48xd3LplyqxHkalAeEp+79YHkfvAr9wGdH6DSbzhPChNSgsRLvhJlHrmFCtC1V5dfha7nq0vQThBPtVOJmzQeHkeOxEJQAMo+5pfu/ToZQCt+Ul/PjgFNy0vmL3B+ug6ibsNmHcTHIO4gddhDC3qJxYJSTjJo4y7XTTofQA0/sQEJPWh+FIerLjhJIT+jI1cORcPPZsnikV2uF2hIUG1BmaA4n3HKT5+9KCd1TAR1C7qFzgXQBQOaB7XBhNkUyIBKqkS1mylg/ZFdrlcImsu0E8RzlnDIg0ZyO3yquirzwgecLckt6GM6HUBtfTrOJJdbHHN/jtSLfqIOoWoI55CfNxzY5XqVBgTVbyTNLeRezxPmwI2gLCgEt6AP61QAbQwoj0EiA5qrgi65+0aZPCZ0+Fl3Tl51ZJfrVYL+C0NQtqDoG6grKFvQ3I3PLejjOhtAOwYUm4xSqJ7YmQ2ojBfGPnMNL7EU56drr1ogaLYSgQAa04U/ZYZOanLvNEwpTa5YleO6SWcGqDKguedwmGI2oLkfMT+ew4Cft+DTLz7XqwWaleWFWlqu8RTAT9hzaSILiv36AiaIsOW4btGZADowoLlGHQ3o9QKaND+pj2jUe6mCVh/W5Xq56nr6URCP0Xqc8gDOKd8LRFC0oERQv4zv0rkAalGIAA3kRFOPOOwDWmUBdX66DqllgmoLil3qUxQ24eo8q0163STBda3XqQDa8pMImQ3o9/WS+c7pZTndV4jdHqA3xeR+2bnepR5BzXVMtaCppjPknExpdg+0oDgeKaeHcAv6gE4E0BqFyoCmv8mAfkdtQINMJFdddzcddYtTd7nuUX3F6zfpReALHS0oNwS4Bd1O5wNouZoCJWLCmtArPL+xOSmW+L0XwDs/XUdRdfXWFpQIGsmC5iv+Yi2o14I+phMBtOrQJgYU83ZNOBVSmQeJxnDanZyfrkNpjqDGgoaQp0KarAXFeTvdgt6v8wC0NaDUdoSvpjQZPKgaUIBuAO/8dB1JNmwfETRnZAqYCPQCTNB0a0wZnqEqxrVW5wHoyICGKAY0BexT5Jp17AOq98nzbd0gv+Bcb1dL0E5DfOrwnIP31KE+dweNYkExzXi0xbhW6mwArQ1oDNqA5pFrZYQb87NA97ZD+vXmer+aik9N0NKbPlvQlI4pD4lnC4oZl1sr4Vqp0wDUGlDgTkwBs81fr5LLhPwMckHVQ+Cdn64jCmDOgqoxd9/p+kcLigM6yYJigyvv4bpFJwOoCuDZgObRateH7ndpHhLzAAAgAElEQVTAR+0XJ6kJTbeP264ev9ZcO1EFTWtBo7KgiaAX0FmZMMWOW9B7dRaA1k1IKcdSKAY0jeEMJlF3c8k4P12HFQwtKJTxSDQ1Z7aguTsfWtCY2uU77amuNToXQCt+RgIoGdD8utSAGn6C89N1YC0TFJtVMTN9nh1MLChMbkHv1kkAavnZMaAXHIdRAngwAbytiF9zwM1O3eXaQNAHaF5eLCgGY8aC0gD5Tpdo1wqdEqCYhT5EDNrTKGAwBjTUQ5Ccn66ja0DQvLhY0HjJQfwUoVjQPEAe3ILepXMAFKqqc2xXpI6gaQTGBcexlT70Grng/HQdX6ULs70ZQAAacShnnlkxZ3Wk7n5uQe/XKQBqw/HcLbgY0Eui5WXC/qDET/O0vf3B65eYa4fqE7TE8Djdcbag+eaY8mZsQUMnL4RrUScCqDGgOI9cYmYeuTYFNRGnbXJ0frrOoZkgHgEaKZsIZhRJ03xYC+oEvV1nAChUQYsxoN9p7QUnJKQHsXnW3nHN+AXm2qUKQe39IBY03xfTFDGxSK4JhXy/pABt4n38+r5BJwBozU8IlMAuNcBrA/pVGVC1lxtQ1/GlUoGblvggFjSnFv+OOD8tW9AYxILe3pz66To+QCF2DCjO/Z5rfLIBzW3wnQDe+ek6kRQ2YWxBwyX3qXcLuoVOA9Dyo0/4nEUD+h0rAxpkFg/np+tsUuNBegSN2H/+mzqnhGJBcdLO6Bb0Vh0eoF0DCtQDNBvQC07figZ0UgG8ONEbLhi/tlx7lnEFPQuaJ0a6pLx2bEGxN71b0Pt0SoDiQIuY889c+Zmer2JAhZ/txNprjuaXlmvX6hJUGuIBLegF5wgjCxohz3kc3ILeoaMDtPnJsfmoGFC4ULoZNRoj3s3P7U7c5XqGTMtoa0FDtqAXal9VFhRoqIlb0Nt0OoDmJiQxoOlauT5mo55ILu9muszdcjCXa9cyffNaC4pN78lZhGRBIRQLSgNM3ILeooMDtGdAI/cKhnSZTJdYDKgM4bSDNm44mMu1bykHqVuUQCwo9l/C1PTKggae5MYt6C06G0Bz7WfI1eHZgKYW+HL1tPx0gLpOJtD/NBb0K+Ra0EzQS8S8THmuMJqB0YP423RsgNaXCU00iH2CQzagEyailyr0tJXz03VecSNp7FvQr4hzg10NaO4dPeHK1IuJJvoGVYxrQccHqDagOJMHTcWZBiFNOJOcdOLAGh+vAHWdWKp3MwwtaM4KShY0igXNcHULeoMODdAmTsnRyIQd2kJuZEQDCpxRNm8FVQnrj+Vy7V99gMZC0EzJ7EC5zx8BlGYKcwu6XucCaJ5ArjagcuE4P10foR5B8QX3hdYWFJPrALYicaNS9Et+nY4M0C4/yYDmPKAQLjlCKekQTec4D+Bdp5Tq4rzGgpLrnKgLtXdlukWnA+glmdD08pJbkEABNHdt0teFG1DXKdUjqLKgOD1YGv8+5bQ72BKfsZr6NXlXpht0YIDWfd0iBSZ5MGeeyCN8gzWg9sHq/HSdU+WWKAYDX3xRRgiccxEb4nOtV7ageeJOt6C36OgA1fzMBjT3yMgTGV8ZesmXA14zNHGr89N1fvUJKhb0epvkhEzxMkVtQSOmWXaCrtdxATprQC+5Vvw7NypSH/qan+svD88g4jqalK0YWFAc/x4msqAR0RnYguq6MddYhweoetaGYkAvUQyodH67twuoX0au46klKFGRa0Exbdk0SfYItKDUS9Qt6EodFqCtAcU8CTnldqrUgWsYf32mfn3JFXOn/9zunF2ul0l3ji4dO2VQcwhsQTEbaL6BArgFvVFHBSg3LRoDmviZL4eOAZ2i89P1QTLVoK0FxQz0IXUFTb1WJhqE4hb0Rh0UoKXnkiy5vkzcTHWdl2xAQxADml5FfTl4A5Lr7NK3RumWVPLqTOg2v7PnSL3/sA0es+lGcAu6SmcBKGCrYk4EejWggMm6Al4t2FnDDajrk6Qu3aAtqIxrzrVd6T5J4dlFWVBKU+8WdIWOCdCOAY1BxvKmCQvytIOTqvBxfro+TA1BtQWFnEQ5JxPJo+CLBQ2YUUT3gHINdRKAVgY0jeMM0oSUU3bdFcD75eM6rrRjgBqgX4EtaBq0V9WCTg7QtTokQOVXDWVJAExzGON3aoYH0DWgdxpQv3pcR9aAoMD9UvJkN8lopJfagk7RCbpShwaonhgOp96MZEBzdu0JvAXe9cHqA5SHlkxsQdM0x2hBI88tR5MjOUAXdUSA9g1ouhYiGtBcCyoGNFYtSM5P14do1oJ+4bjNHKslk5EsKAZy2XI4QVfpFADVBjR855HwxYDe3YXerxzXwWWu+lKPFb44vw5mYErjka63zyWSBaWpPRygK3RAgK4xoDkM4RpQs5Pz0/U56hNUW9CQB/BlCzrlmcSoJyg4QVfpDACFSABNFhQNaGqTJwNatcCvvR48g4jr+NIXcZlxM4aoLKgMOsHOKnm+zsjzc3pf0AUdD6Dl51QAnbQB/Y6hGNA7W+D9onGdQX0LGnhAJ1DflZBTjweyoOlO8iB+nQ4M0MaApv9dci67PL8LBvDB7OP8dH2UFiwo9p4WC5rdxiUWCxrBLei8DgfQxoCmBbkOnEfBf+dJr2X6F7PPysDcrxjXSWQsKI+KFwsaOINZIihazziBW9D1Oi5AmYXpB8afPnXHAJrOGKDLz1sP4nIdW8aCZobmV2U8EuYPSfzMAzsjWlBUdAu6pKMBtDGTaECxCemSasS/c6U4FAPq/HR9sGz9P1DgxgQNNJNHuOC0xgGzkqMfOaEF/Zf/8Z//7a/+Pr/8w1/+yd8+XuBhAaoMKNeApsxc2Ac0cA3oXbNwnudycbkGFpTHI4WYxyJpC5onZEQXGk9G0F9+JP11fv37Hz9+/T8fLvFgAC38jGJAsd9vGgCf8oHmAJ4N6AR3GNCzXCwuV1JNUGtBgYL4NLdHntIjYAwfS1/QCGe6J/77jx+/yS9++enzANq2BgHxM9nOS0ADGifpQ+8G1PXx0i2nMLSgOf9OcqIR5zfOof0Jg/h//Rvm5r/8p08DqDaTAtAAZEBTH/psQAMPVQvOT5erbonn4UhSCyoWlAZyplrQMhwpwrks6M9iPH/+i8dLOypAjQHFjvOXPPwo/TP1DKjz0/WpqiwoY1Fy7aQ+oCHP4wBkQSO2KdGmJwMotyL9m79/vLQjAbRrQHPTYe4LfMm9l1KfNm6Bv8OAnuhCcblIAwsq2cpyCqaQ+1LjQKRAeZnOaEF/zwD9+a83KO2gAC38hPxbp5k4c07Y1JlesjDB7fw8z3XicomMBaUqTbGgmFY5z8+ZQrizW9BffmD3pV82qAE9FECXDWiuugExoPFmgJ7nKnG5lGoLSo1D2oLmrKDUmISWRJqR9mZBv1aqv/cv2I/pj/9+g16gBwcoTgOff+VpmsiAUhN8uMOA7ugacbm2VG1BqS6ULWi+j6aURjnkhnicn3GnFnQtPwcE/cNPGaC/2yKAPxJA7UOU/4oBnUI2oNKFCYwBdX66Plrm7pGeoFUtaMpJry0o8GCkfRH0cYD+RYy//3fbnMwRAdoxoOGS8sHmvhcYwfNQ3mbnVUdwuU6mxoJiJI+cQWSmhCJXNxoCD4UPNBIaTgXQP/72CtA//NkGLfBJBwco0JDdSzageSwvGVCQdHfR+en6eJnxSD0LmiL2KfefZwvKMTxZ0P3cHw/xMwH0N3/8q00qQOOBAGrCcR5LQQN2yYBiTjvk5+0tSPu5Plyu7aVvB/IWgS3oF1nQPJBzmtiBTnGCPVrQx/Svf/PjNxtVgMaDArRE8BMa0OmSf31QWbrcgLpcSrMWFPuspKzKaEE5y12ekRF2Z0Ef0hWgPzYYgkQ6CkBbA5p/fozgUy6uZEBTAMIGNHgLksul1NaCNhY030ZoQXNwN/GUtqeyoD9TNpFNdFyAUhNSNqDTBDgXVrzky2HyFniXy0pf4oEHI0WO2XL9VxqOlO6qC87XGfNEH6ezoD9v0oOedBCA9vowVQYUM4pQQOL8dLkq1SPiuYM8BW2QM/JcsiFJAX0ajXRGC/rP/3FDfh4PoFUTUq66mSbs/MujkCavAHW5aplaUElqJxY0NyGkAX0Rx6RQV1CcFOc8FvSf/8NGHZhQxwCobVCXZ+KEHZemPIgiGdALV+i4AXW5arVBvLWgKZq73knKglIMfyIL+g9bdQAlHQ2g+Kvj/yF1XIqXkOcUTA/QCWvEJ/VDOz9dLpK5zoPcSpR8J48+ArSgyXiGjNKEUbag4di3yi8//fqffrdl/WfSIQA6NKApgv8GfGyCGNBba0CPfFG4XOvVs6DSjIQNsmliHCRo+n/Mw5LO0Rf0j7/98ePHn2/Mz6MBFPg/iGRAU5+LacoV4GUipJsM6IGvCZfrJhmCys0UuOIrVYlO37l/dRrYly1o7twitaBHvlt+9+NP/8vmhR4BoJWfxEchTcYZv68PzktuSuIRXjca0ANfES7XjVJXeygNstyMlG6sNKpPWdAp926RyO8U7Uhb6gAArYZksgGlJqRLCMmApm5rZUxFZ9cVpbtcZ1fTmz4vEAuaE5t95/qxcEnuM0/RWSxoDH7DWO0foBU/xYBiBP+dar21Ac1xR7vritJdrvOra0G5FjRDdcoN8Tk30wRuQRd0XIDmCP5qQC+58ZANaHSAulxj1RYU37MFzVM6XFIzUuoeGDC/HRgL6neM0e4BWvMzgjagV35eALOKiAGVXZyfLlct1UAArQXN99UlkAUNOCh+QoC6Be3ocAAlA5pjjQjfjxlQvxZcn6a+BeXMymxBYx6hkhOExjzJh1vQvg4EUGNAU/ugGNBYWpDcgLpcs6osKL39EoKiBU0dmnJuZchdBaNb0L72DtBBBB+wH/0VoFP+rakJCSf4aPZcUbjL9SHSlqRXCxpyZ3ochZQT2xULGsm7uERHAyhgpuTUgSnnUf62BjTcYkD9QnB9omYsKOU4I1sypeRM6Xa7MEAj1pK6RDsH6KgJacoG9Bvwl+YmpKk8UJ2fLldffQv6pS1o7hqoLOiF+4y6Ba10MIBWBhS+cebqIIM41/PTAer6UKlm1mJBuRU2W8zvPDD+akFzloncIh/dgva0b4CODCgmAsUa0FwjivwMarvFop2frg/VCguKM4yF1BKP4zt5O7egVscCqDGglwDfkzagENYbUL8EXJ+rGQtKfUEvqQ89YKbdlKhnKqlHYq5Bc6F2DVCoX4sBTQi9xhe5uwXPBR8CrDagzk/XB0t3lRaC8gSdGaB5JGeeIyknmkhD/mR7t6BKRwEogzH/jFPuwgTTZcKJPWoD6g1ILtecjAXl6ixjQdMIFbSgOFnShecAcQtqtGeAjg1oqqC5PiK/9SAkN6Au10pVFpRuGxALCpCDeLagaZr4SVtQByjrIAA1BjQnKgxXA5oz1wUexTk5P12uddK9pZmgZXKPPMNxanmnnEzGguZdvCGedCyAEj/hGsNDnL6xqwV3opcuwQ5Ql2tBhqBsQWOxoKmTSw71Ukt8zH1edAzvBCXtGKADfmYDmvgZctKYQJ3oowDU+elyLUq5DYrs0msCaGLqBbIFTTM+tBbU25FIxwNoqpeBRwyo//Iul7lbZJZ4saDpNrsAtjbQpOGTsaBeDYraL0CbJiT6yXJQEdiAAs3Eud6AOj9drrhkQWNAC5r/nyxoAipt5Ba06BAApZcM0DRX9RSxD9P0VfVh8gDe5VojY0FbgJ7Tgv7L//jP//ZXf59f/uEv/+RvHy9wtwBtDSj+fMl75gkD0xAJoD70bkBdrlulbphiQb9qCzqlu+yS8ixPEw9FOqwF/eVH0l/n17//8ePXj88Sv1eAtvxkA3qFZzGgPIhTAOr8dLnWadGCTnlEfIrhc1q7iSa8PbQFjf/9x4/f5Be//HRigHb4SU1IqQUpYHQhBhRWG1BPIeJysbQFbXoyJYv5napAU1emacpTfQAc3YLG+K9/w9z8l//0UQDVBvT6y95lQA/5i7tcz9GMBcXuoSmrXcq2e3WiFxy/Ase3oD+L8fz5Lx4vbZ8AXTageerqwCMnuAnJ+elyrdeMBU3vcuQe8sTG0yV3GQwM0PzfMS3ozz+4Fenf/P3jpR0MoFOu2obvnGyLDWhkA+r8dLlukO7JVGI4vKnAWFCcXy7Ff7LDUYcj/Z4B+vNfb1Da7gHKvzHnsUtpQHMe0MgzyeFKWAakA9TlMmotKKgJOtGCJoJeEXrJeXum41vQX35g96VfNqgB3SlARwY0J1K+pNbBS16k8xdGN6Au141atqCYV4QtaIriZYfDAjT3Y/rjv9+gF+hhAAo4+WbqS3E1n3cZ0CP+1i7Xc6UsaLAAzfcUzomU77pwQZYe3oL+4acM0N9tEcDvE6A9A0qTwWcDCt/GgOZOwA5Ql+t2mRieuSiRXYQ8Q3zOqpwz+CSAysxjb7Og3yvV3/sK0L+I8ff/bptzOQZA0YDmPr1TmjJwyu/cgLpcD8pY0IqgiZAp4wTk0dPJgsaA83NKM9I7Olav5eeAoH/87RWgf/gzboH/13/8q1/9t9/lrk3/+Jc/fvzp39Ki/+en/HpJOwTowIAm+5ny0KMBTUvoV6b5Aud/Seeny9WRBSjdSF9C0GJBcwfsmEYnSY/rN1nQxwH6mz/+lbDx559+/Or/+Ke/+fXfx9//6u/iP//2T/46/vzjx5/8738X//GnFYPlDwHQnDJbDOiF5qr+KgB1frpc90kNQClVYSWID99AyUHRgqZMFLzfmyzogwD917/58RtdAfoH4uQf/pf055fkRf/wU+7p9PsVYz33B1Bo3yAjMTs25Ag+xMqAegDvct2jrgUtQXzORJ8ivyndfTFXhR7Fgvb3vgL0hx6CRLSMP2daZpzSoj/+dtmC7hugxYDi7HE5Eehlyj8b/8T4q7sBdbnuUrGgujJMGhhSpVm2oFPM/mW6xHdb0Af1M2UTIREtE1d/ULKmsmixqX53AG0NKFA7e24LvBrQNEVL6ay2xoAe7id2uV6n0oda3UxfiqAhZ2YKmB00TxhfdoPF6G93+tkG5mI3y+KzAJR/pwzQ68+WoomQ8tgpA7oCoMd7RrpcL5QQFCK0FjSP/SMLmkYiBbKg0hB/MIL+83+0FZtCSxrh+f/9X2XRAUP4DkDFgKb+86kJKfAw+EB9QOf5+dTzdbmOrgULmlpu0YLGNEPnNJXMTQe0oP/8H6oUIlIHSjWj/7eqA/3VYrqRvQG0y08chgSp8jPlEUlD4tc3wR/q13W53iC5hYBNaNQTdGYLmlLwxkTPKTfixoNa0H/4s5qJDNBffvz48//3usH/9j+5Yf6XH8v57o4AUKBOTN9sQLkLU6A8ds5Pl+sBjS1oXjZdIGM0td5WFhTIhB5Bv/z063/6Xdsx6R8ouUia4+Oq9OYPP/349d9d/12RbmRnAG2akDhEYAN6yU1I1NE3R/ALv98xfluX653qWdAvIejVuqSUTNmCXnIz0hEt6B9/e8Xjn9dIxMZ3JOU//K8/fvzZ38VsSv/rTz/+5P9cka5pXwDtNcEH6m6WB5VN2KlCDCgsPf6O8Mu6XG9WqQbDQdP5pbag6VbLQ6hD6gtzidIQnyF6DAv6ux9/+l/WbclR/QrtCqDQvuNW9hAvl5QcRhnQiAbU+elyPap5CzpdlAXNMXzUSZkOAtD1OgVAjQHFaYzTKIjABhT79zpAXa7HZQDaWtBLnhg+z+RIFlSC+ANZ0NU6HUBTFpEL5NprAagbUJdrM0k9Jnd7idqCXlI25fgNKYi/TJhW5MQWVNqVlrUngC4aUBwMsT6CP9ev6nI9TwsW9Du1G4XUhymnE7mAjJw3yD2FcmvTih5MWTsHKI/ODcmAhosCaJ7HA+LstFYn+lFdrucKRgAtFjTlosgWNI1IKhYUQ8Q3nfa7tSOAzhnQ3A6Yq7LdgLpcT5CJ4RsLmvrApG7Xqf0o16ThIMBzWtBbtFOAcq/exoDyTB55XZg1oB/6i7pcd8lYULqzBKDxOyfhzTdisqDx4hY0az8AHQTwuQ9TzoN9ffoly7nWgH7oD+py3acC0ELQr64FvST/eQEL0A+94Q4A0JR86Tsb0JzadaUB/dQnost1p0DH8LUFxZ5MaEHTeJbKgn5sDL8bgPb4SSNt2YCGSQwoDY8f/2af+Wu6XPdr3oJecCKInJTJLahoxwANURnQPBZeZkJKHXpnDehH/pYu10OCFqCFoKkjYbrnUk6fkBqRyIJyc8WHWtBdAlQZUJzJA5uQpjKT3PW3jMENqMu1oawFBTWeMxH0O+ah8Kky9Oo+c48mt6C7AejYgKZh8IEMKEXwAJhheV1pLpdrlYoFjdCxoLnhliwoTFcLCrEQ9EMt6G4BGniUbR6BlMbhpnrQoCL48e/1iT+ky/W4ymxH7YBOyJWeIQM0Timp3aS2h5KJ+aO0E4D2+Im/S3rWBezDxPzMEfxME9IH/owu1xYyFpRvMLagFxyMlGvU4oSWBtTmH0nQnQJUBjnk4beQx8KnnNgSwc81wX/er+hybaOhBY3pXsy9r9GCpt70U6gt6Ofde/sA6NiAcgrlS2r4uxQDOtOJ/uN+Q5drK83F8PE7JzZnCzpNNoZXbfIfpH0CVH6KkPvQswH9WmNAP+4ndLm2k5lwM7YWNP+TLej3pe1M/3m33y4ACtW78qMEMqDpz0Q9KnJW13F1y6f9gi7XhrIWNKquTKkZiSxonmC8saBQOkJ9jvYHUG1AU1+JNAAXvhNKiZ8pgp+cny7XMyTTxXUs6JWgZEHTqu/cPmF6Mn0eQfcA0BkDGvKU1JATMX1xHtCM0MHv9GE/n8u1sUoM37GguUU3ZbMjCzqFWAjqAFWL3wZQ+tFw2SX3PUujxtiABgLoiJ8f9vO5XFtrhQWFPKkHxfAy9vMjCboDgPYMKHVHS/MAZgOassCQAY3TuA/9Z/12LtcTpC0o34pqOFKaGyndgZcYv0OaIh4coJ3FrwNo9X3rtjzsPQ950ION4Ps/0mf9dC7XM9RrRrIWNGPz0regn9YQvzeA6hrQ1Fc3JaG3BjTkbkzLJblcrns0tKDpxXfEWtB0VzYW9AMHdL4doDMG9BrBJwMacr8JNqDXn84NqMv1PGkLym7ma8aC2iD+wyzozgCqe0XElMAuPeymNPDWDajL9RIpgFYEjRmgOCA+WVC4pP4xH21B9wVQ+1ukJqRkPlOHCTGguVV+sSCXy3WvZi1obkaaUtPE1YKmGB7gky3ouwE6Y0BTvheYYprMigAKbkBdrqerBmjHglJoGPJNahp+P6whflcA5VmM8d30ncdwtga0+/t80G/mcj1V2sY0FjT3pU8tEWRBL9irEMr2DtDXAdR+05SDiR5l4TtiBB/gWwxo+rWcny7XM7Xegk45zc8HW9A9AVRy2OV3ZEBTOzyPgncD6nK9QNqCysAklVIk34hXcH6nnkxA1aCfaUHfC9A5A5qn4kzPtxDRgAaaC9756XI9VboqTSwoqKx2OFVZsqA5UW9lQT+pGWlHAOVOu3khxu5TbuSTJqT0q3UN6Mf8XC7XK6QJ2rWgkVrhYwoRrQUN8ZMIuiOABsXPZDuzAU3PN47gyYI6QF2u58q05jJBeU7xnMQOJ+a8WtBvSC40qsA9qAqA0+utAK0NaKm6nnD8ZkojcuGpOIEm42yL+ZDfyuV6kZCAdF9xQzxYC5pieLeguwFoSaKc/ksZ7NCAwlRm8ugb0A/5pVyu12negl5ipLnh00wRecYytYPpzX12vROgYwMa8pzTqZdunL4j87NvQD/jd3K5Xqm+BY2cES2ZzDSeM6TkIjlZmqbmJ1nQvQBUqlDQgKbu8ymZnTageS4kN6Au1wuk+saLBYWoLSikVt6YI8XcGbRQU7dmnF1vBOjYgKZR8NmAThC+JYBPyejbX+UjfiWX68UyFlRieLagaUYPbUFzb/qPtKA7AWjHgF5/lkuIFzagqcqlY0A/4kdyuV4ubUG5L6hY0HQz5q70aEHT3I+VBf0Ugu4DoNKERwY0zVWFBlS3ILkBdblepXw7VjG8qQXNlWq5JSndsGnAiyDXJrU4td4H0LEBvWITclwQOIKPHMH//+2dzZckN3Zfd6V9U7Zn3/owRx5ZssTdSJoKbEHakowtZyRrzuGCPjyN/3+hxHsAAogPRFZ2ZmQG4t4hqyqrm1I2qvOXF3jAA/kJsA9LCpqOI4WGdqqgsqHeyH6ZUyroSwRo/lFFAQ0/jAUBnZfgT/ADAngOpYJOAvRNSkjaWNmF3vQmbJg5pYI+LUDL/HRVfvowgzfSo6AQ0MU2Iif4AQE8h2oOv6igcuOjDSeRZA5fpuZpEvRZAVr751xAY4CmCpKcHkNAAfZjPocPjysFNaI1FwV9dxMFHesaffOkAJ3kZ9WA0Eir1isEtP+fDsDzqObw8dXmUhlJtjLZWJmICmrr30iAPo4NAfXvusmsEFA/uwqp/x8OwBNZmMOXCmpDazSjPXrlAvLBlZtHT5KgTw/QRQE12mRwGNdbFmbw3f9sAJ7KvIxUKqi0AdXtTHI7Z7il0xGg8duPDdCGgEp/63epw7tRQP18Bt/9jwbguSzN4S/WWc7hvTRm8mYwesmcP1uCPjtAlwRULoQP907H/AwCOpvB9/6DAXg2eUunPMgKWpSRrI8K+u5EQcsbkQjQh7EooGkTvXTHkh26Qymgk7vkev+5ADyfKxTUhVPXiwp6jp1MTw7QvOUhRalE52DCufd8Cl4OPVjyE2BfSgWdBmgqI0ljpstrdpBTnadT0GcE6GJ+xl1nNszgw076dJWctL6ezuA7/6EAvAT6OltLUDkLH+aHob47mMFmBS0DtPMX6/MD1PlRQHVnbtjDdEnQ8ac0KyH1/TMBeBGKEsU8QN90Di9b6Z25TOLDBLJQ0OqAYa88NUCnAioB6k24KfXyljZO4Kcz+K5/IgAvQ6mgeTqedjLJNY9hJ70UKNwaxQgAACAASURBVAbz7sIdSXMF7fr1+oQAXSzBa4DK1rL3sA20FtB6Bt/zzwPghchBqA+ygsYEjTfCB+3MClrsBT2Dgj4zQGf5qQeO3mUTvRkXqicC2vOPA+ClWFPQeFGZlJGSgg5DUtC6jNT1S3b/AG0IaOijfHknk4tSEVCAp1Mq6CiTSUFjm8mkoO9hP5OdtxTp+SX7xACd5me4Ct7rDP7yT9HzJVT53Py/B4AHM5nDz1ZB9S4kUVBn3mXzTHEjUtUovU92D9A6P+sVUDmxORi5FT6+w7npHqZ+fxQAr8eighZzeJm9Szv6RQUlQO/NWoBKY2sfbvOQIw1FJ3pPgAI8ieU5fFWIj4c6nbXmop9VU6b+5/BPC9C5gLpBr0My6RDnm7cIKMAzqQrwo4J6Vyqoik7oaDckBU2Z63zfCbp3gNb5ORHQ8IMwxqQtTAsz+G5/DgCvyfIc3qe+oKqgWo033l0UVHcyFVchj2unHfKkAJ3mpwqo3CUXSkhZQHWJehq7ALATUwUdH8etoD4aqBy6fp8oaH1heYfsHKANATXS3tqMNyH5KKBjCb7XHwLAy7I2h08KGvr+eDkC46UIb/2pFHTfAJ0m4bhBtxBQb1IXEZHPUUB7/RkAvDAbCprXQK1sN5RjMGbcoujGelKXPDVAJzP4IKBuSCV4H2fwhvwEeB4bChqS08YyUrhl7l3uJC8VNCdpj+waoA0BDftvXdhAb3xeAdXVT8MEHuCJjFNxXytoWepVBb18kl5qtg7QjhX0GQGaE3F8TysF1GYBDf/kEnyf4w/w6mwoqI+XjkcFHSYKWn3RH3sG6FQlS8Ufwk/ByPrJsoD2OfwAr881Cmq1448Lc3jp5+vOoaBPCNA8jnUJSW4zDv2U89uaJ0ABnk9VPlpcBc1zeG+1m1qtoAToPWgJqDVagk/5+SaHaK1sLav+IwDYm1JBxyh03o8KquugqqChm4Wewe5fQfcP0JmAhv9JCckONgWo9rAbBbTHoQc4CFMFzS9Km04j5a6g4UoeI1clhd9Uvsb7fBU/O0B1bEVAnXkvllV8NYPvcegBDkKlnuUcvmwLGstIoTX94OVUzBl2Mu0XoKsCevmOqKcb8gxeWxBY8hPgFSgTdGkOHxTU+Hjy+lQK+vQAlawcwruXCKhdEtAOxx3gQGwo6FssI8Vlt8EMcmH8TEE7fCXvFqBbAioz+OIYfPgdoc+gT2MPAE/ClR+qNH3LDipnBm1SUG8LBc1lpP4SdOcAneRnJaChkXI+Xqu/ZDr1foBjMZ3DT3YyvekcPnauMO+hJZAqaHna0Hf4Yt4rQKdrmYWAOrMmoHon/J2fCQB8lHUFtSlBx95pdgjnYvRA52QnU3cv510DdJqfemVKaMB0GfvLu5Z14wpovO2vuwEHOCDrAepcMYfXhVA/DKGthR/mZaTuXs/PDlCn3QPjDB4BBXhJygQdp5Py71vqrCzhKSuh4WrdsAg6LyP19oLeKUAbAvquTeflTSttotd//NDdcAMck4aC+omChut5jEwsRwXtdg7/5AB1UkEKx5CGuYBa29toAxyUQh+nbUVcNNC0i0mX5aQzpasStEcF3SdAJ/mZRlIEVDoQXN6yTJwKvGUBNa6zwQY4LOtzeJ/LSKKgIUBdmE8mBfV6UXyfCvqUAC33ML2LgF4+pQDNAupMZ2MNcFw2FVR6iYTjSFJ8f58oqNabiv9LnbBLgC4LqKTkELbKawlJ89MUM/iuRhrgyCwHaKWgvlDQixLZ0B29dwV9RoAuCGiewevgyy8NfY00wKEpE3QSoLWCak8RVVB9EWcFHf+TXtgjQKdvO0WADlbS0g7xIo9CQJ3paqABjs3mHP4tl5AkJt+H0KXSdl6If0KA5hJSLsFfcnRIAqolpPBWZu/4FADgK2mUkcZXr03Fi5Mo6A4B2hBQY/T29yHfhOTTMXg33O8ZAMBXc0UZSRVUL4I07+aioHUZqb8T8Y8P0OmILQioHUxqRK8zeDkgf7dnAABfTyNA890eevw6KmjYDBr30nSroM8NUOkA6q21xk4ElPwEeDGKl/K6guq/4ZvvlwnmEHdzd6ug+wToSn4aufrduVxCygFqzd3+/wPAXSi3cbqlAH1LK6CinVZ2MhXXy417QQnQq1kRUKmzv4daUbgUdRRQrzN4BBTg1aj2wY9JOFFQOdKpfX5NaCmiD3pV0F0CdCU/VUBD4ys3EVAqSACvR5l9awo6tgX15j3Uh3VDonNVgHaToI8O0DUBlUVmPW40eFPcZexlBYUZPMDLUWVf7jW/pKB6nnMY7JqC9pKgewRomZ/6QEbXGrk/xdosoDE/HXvoAV6RqxRU2oJKaIbO9IPX1zMBegvTPQujgDovAhoc3+ZTnLrKjIACvCTVhLJW0NgW1EobyngcKexPNDLNdEUZyfeUoI8P0Co/03uQHIPXElK4kjOugMpPJLyFUUICeEXKBLX5W6WCmnith7yILwpq5AXtxvOcfSnorgGa3ntU76UT/Sigb/E9yqbb4AHgxVhW0PjdtJveZQW9GKgsgoqU1juZCNArmApo3gMaBDSWkEzqaJ0DlBk8wItSLsrVCpoDVAVJ5pHWDGEFVG9H6lJB9wzQJQENM/hSQMP7FgIK8KIsKGhemcsKqvcZBw8KCqpXHHeqoA8N0IaADi4KaKrBD/rLso+si5EF6JDlAE1imhRUSu7hozEm3Ltbl5F6StAdAzRX3+JJI9kf9p5OcTrd5xAClBk8wKtSzuHT3RITBS3m8HIzkrGyZ7FLBX1wgC4KqA0LoHIUyZl0FdKQDyExgwd4XZpz+KSgerGElJGspKcqaFYqW/zfOjaPDNDJpZpuIqBhD1MWUOt1kYQZPMArUwVoraDFHF7SUspINtSQ+lXQ/QI07wG1XldALwKauojI3gevtxkjoAAvzBVzeCdTSRerxeF1roX4rKD9bKZ/YICuC6iTPv+XIX33Q9p9mwSUGTzAK9OYw6cETQpq5KxMqBWHOnxUUFf8B8d/re8WoHnEjFx3pH0D39NVck77M6V3LQB4URpz+LGMJHWkWEbyehxJWlR215TpcQE6FdA4bqWAWqMCGlZDcyv6ww8pQNeUCToJ0FJBUxnJha2g4X7OSkF76Qu6V4AuC2jcQ+9MFlBKSACvzbKCVgFaKWiYwZcKSoBew4qAhiunhrjHYUlAmcEDvDbV5LutoLoh1IT9NjMF7aNj0G4BuiCggxtiE1Y9++W1GSsAvDLVHN4vKmioHqUy0kWQgoJanwrxpYIenUcF6KKASn6GMdXdnqmEJDd7IKAAx6BW0EkepmW5SkEHH450WhcPdHakoA8K0DxI+bEEqLQFDO9Ml7ejy3vSUPSw9jFVCVCA12YSoNXGpFFB9dUsChr2gg7hAnO5L6krBX1YgK7lZ1hX1ltS3serUI38Hh1eAHht6jl8nYdjVzsTl+pUQQfJT1VQAnSDqUjGAJWcHGKIJgE1HgEFOBIfUNC0o/7ycpcah53tZDo2DwrQxfyURtVhBGU12eQVUG2/JG2YOhhRgN5ZDNCZgjqbFXQI/7Pyqu9sDr9jgOp6chDQUEcy1sT8tLHFgEVAAQ5BvRW0Plzkq652snFR5vByP6eWkDsqIz0kQGf5Kf+MAqpNquMpThtb/TtOcQIcg/ocpltW0LdRQcMcPtwiKbvpu1LQHQI0vt/o2a5UQjKxj502+/fM4AGOwzRAKwV13tcB2rOCPiJAVwU0Xhltw8XvaQ+TNfE3WQQU4CDU5zDzQe06QdNOplRGkuy0pisFfXyAlgIapuuVgL4Zh4ACHI2PKGjcDzqEy5Fcagzai4I+IkDrQUkCKmhvgdCl2sT8dPGyUwQU4DgslpGmCaobu+Mq6MWVwle1ghKgcxoCamNUmnEPEzN4gAPifDWHrwJxQUGljGTlNGepoId/zT8gQJcE1IqCykZ6qcAPthJQZvAAx6KloOHDkoK60InNulJBj879A7QtoFpCQkABDk6poDlA5wqqARoVVPqCxobqfSTo/QN0KqCSn9pqSVdAwxJo3ERvfQ5QBBTgSGzM4acKGvoqX355CD0vDAG6ysohpDCAKqBBQd+TgNok/qaT8QQ4CVeVkd60BWiaw4cmwFlBu3jB3z1AV1dAVUC1Bp9OKjCDBzgqkzn8qoLKJiaRpND5VxW0m1XQhweo87EKV5SQsoCmEhIzeICjsTyHnyio7rxx2gRYFkD7UtB7B+iCgEoLwCSgYRuYyevLSUCZwQMcjekcvt7aOTZlkiU6/RC6YJiuFPTOAermAaqLIC5qqMszeJ/72Hlm8ADHozWHHxW06oFx+WewPt2C1sGL/r4BunQKXjfPi4BKg9V0iNOlEpKL98wBwJGYzuFXFDS3FNEKsiqoCtUTnvSduWuATgekFNDgprKZYVlACVCAgzGbw+uHiYL6dDdSUtB3uX/X9DGHv2uATg62xhVQKcOrgMpCcroM3tt4DJ4SEsARmc7h46mZ/I239FLXEoiVLaCqoGpNx3/Z3zNAGwKaAjQofC7BF3uYCFCAwzGbw68rqM7hvQnljiFIU2oMenAeH6BZQGUXmIs1+PCuxAwe4MjM5/BLCuqygoYZ/EVBTXjlW2N7KCPdMUCvENDwz7gHNA4/+QlwTJZXQaenkeLiXZcK+vAAjQeRQgkpvBMZlytzSUCNI0ABjsh1CmqdXsUbFdT6jhT0fgG6KqBBPlVAwxXwsRG9LzspewIU4IC44mPxYFVBpRmwSwpqO9i9+NAAtTJ79xqWofXS5XMW0DSDH7rYzQBwRq5TUN0LOng5jhT2fw/ym0RBd3/K9+VuATpNQRmhQkDl4KYZuwQmAY2trQDgeKwo6DRA31IZqVZQc/wX/v0CdCE/9Rh8FFDpxpL3NdjUutpYT4ACHJOFAPWunMMXCqoBqmUkP8RL4o/OvQK0IaBSSQozdmP8EEfT5hEeEFCAw7Iyhx8TNJ3cdlpGEgUNE/r3PhT0bgG6KqC6DKoCmjfRZwGlhARwYDYVNNaNZRd4nMP3pKB3CtDrBNRFAXU2daL3PawjA5yWKkAbCpqvNffhUvOkoJYAVRYEVINTTr1qCcmZ3IcpCygzeIBDszmHH7cyyW6mWEby7j3EgnnCM74r9wnQBQGt2jCFDybuoX8blz6kEz35CXBc2goqU9FaQUMZaVTQo7/6HxKgYpVJQNNVcm5waTnZlCWko48gwKm5VkHTUp4oaFjbEwV9whO+K3cJ0LmA6valLKDSRGQU0DyD5yoPgINTBWhTQW06UhMSwMn8nQANLAhoSlDJyvDRxE30jhISQE98SEG1M710BBUFfcLzvSv3CNBrBNTmCbz1piwhHX4EAc7NtQqqeeBGBe3hJp87BOisju5SBSkscVjJz1FAL98Y0pDTyA7g+Dg/C9BxL6j8YpQnuRLNy5kkuRHt/RnP9r58fYAu5afeJKcCqode7XggYZzBs4cJ4PgszOH19Z+/YWKAam6qgl6iYTj+q/8RAerkFJImqAho6LvisoAaSkgAPdFU0HEzvXwlCmrizcbHV9CvDtAVAdWdTFYbKjub9tCHTGUTKEBXLAVoraDp5R9mo3FfeB8K+oAAXRBQaxYElBk8QBeszeH9VEF9XMELZmXCx+EJz/aufG2Abgmo1JFcClAR0DTczOAB+mBTQe2ooNZmBdUmy4fm6wN0koFzAQ1LoHkTvY8z+MsHNoEC9MFagI4KamoFjfdzurMf5ZxPwuXtRQZOBTRsWkptREYBDb9MK3qAPlicw3s3m8MHBTW6N9xoGenoCXDvAE23cHqpHck4hfectIfJjwFKCQmgF9pzeCkepQDVFkwhFbhUri2gep9x6ASaeqr62JVahpEZPEAnLAZopaBmXAXVuWdU0INz5wCtBFS7+NcCqn1EnKcVPUA/VHP45TJSVlDZyaQtgk8eoIv5qZ3oYwnJ6ZmD3BDQpxk8AgrQEZsK6iZbwYNcpb6WB+auAap2KZvnXUQuQEltRGJLak1XBBSgG7bn8DkH4k0eIqCnbmc3i0AZDRVQq2ugkp/61mM1NQsBJUABOmF5Dl8maBGgPiro8RvS3zVAJT8rAQ3vNTZeBq8CqgEa24R+7ZMHgBfhijm8zwkqpeSgoGc20GrEAqWAOjlsEBaKzdhOFQEF6JTVraD5Vy4v/1pBT34vfGsFNDfvt2kJ1BYC6nUn2Fc/eQB4FTYTdFTQJFPGnfhWzmUBTQ1Ak4DmU5zagzqWkBBQgM74mILGrnbnDtBWCd4mAX2jhATQP674WLy680vd5QB909mplJGOngI3B+iigMZGTFbbiCCgAOdhZTN9MYd3MwU9fArcGqCz/NRxcnErveyXD/tkh0JAo6QioAAdsr6TaaqgckLJ6DrfwbkxQOux8uMEPgmo5OjYSNkWm+jpwwTQIfUcvprEjwr6ViqoO+0a6GKAxgm87J73skRsh1R2YwYP0DkrChpjwev2nKygUhM56RroioBavyageixJ/yuOwQP0yHqArivo0YPgjgGaBVRPuAYBNQgowFlYm8MvKKga6PF7idwWoPP8jGOjn1RAnbEu9vG36WSnTwF6/IEDgAkfVNAeLkW7U4DWAupijhYCmmfwzlNCAuiTanPO+CJPJ+KLzfS9KOgtAboioHE0zFxARUFTgDKDB+iUKxS0aCkSugMfPQluDdB5fkYBNW5FQMtNoEcfNQBYYkNBVbNKBd39Gd6ZGwJ0KqAu/mOjgDq99znd5FEKqGydZQYP0Cm1XJWb6VOFKe9k6uFS45sDdCk/4wqoBGkowccAtdpaJAUoAgrQL9sKmubwIUoPv4/+hgBtCqizKqDGu7KNiHPpqCclJICO2QzQoqVIDwp6W4Au5Gdsw5QENNwclbuIZAGN5zkPP2oAsMjKHL4oxGcFfbNnPMo5EVCXhszGQrxsojdBRN9yI+WQnlYFlBk8QM9cX0Z6c2dsJtIQUL0FSQXU+rSHyejgOQQUoH/WAtRnBQ2bcvIGnf2f4H35aIA2BFTkXEbEGpuHyMTk9FFQCVCAjlnbClqVkXwqMB8+C+4SoElAw/Rc26Smu4zDuSSxT4uAApyBdQUt5vDpQOfhw+CDAbomoLEDfSGguRGoyrtDQAHOwPYcvlDQw4fBxwLUFR/jV0lAo4WKhFpblJC0x/IooAQoQMeszuFzgo4KejIDXctP7YuaBDRcBR8vgw8lpDFA9cbOww8ZADTYVFCZiEbD2v/p3ZevCdA4e08j4rQPqDejgDqT6+8+nXwlQAF65goFDUJ1vgDdFFDZFRvaMMX8FAENv58ZPMBp+IiCHj0OviJARwGV5EwCak0sIMUSUg7Q2Obuvs8fAF6MSkEnwpWLzlFBn/D07soHAtRVn8YATfmZTsOb3HQ6rYDqPiYEFOAMrM/hvZsp6O7P7r58OEAX8tNNBDSvDxsEFOB8rCToqKDaHuNcAToR0LSlS1eEx4DMAhraiZQlJAIU4BysB2hW0ND+8owBupKfuYQUBNSkPqDzEhL5CdA98/M2+YuZgu7/7O7K1QHqFj5Je6W4smlnK6B+QEABzsgVq6BJQXd/bvflgwHaEFAJyHAIyRUCGjfRpxIS+QlwAq5R0FAgOU+ALuRnLaB6Ct4VAhpLSElAOYUEcBLWAnRSiLenDlDJT18KqPVZQC+/OJQCyl1yAOdhcw4v0RHCYu9ndmeuDNAVAY13wWcBtfm+E18fg2cGD3Am6orHqoLu/rzuzS0Bmj6Nt71ricjauKwhnVIHzwwe4KRcq6B7P697c12AXimgxs0FNG5YQEABzsSKgpZ7QU8aoFlA41VHeY/SYJ0vSvAIKMBpOckc/qoAXRZQ67OAyiZ6EdB0CmnwpYBqw/oH/REA4PWoErSOUk1QmcPv/rTuzMcDtJjAq1/6KKDG5KtOwhamFKDSSYQZPMC5uEpBDx8K1wTocn7aeM9euss4CGhcArX+fRRQvWmOAAU4FY0AjTN3e/wZ/DUB6hY+iX7WAhpOwScBlRXQSYCSnwBn4qo5/NHZDtDp0qd8jPWhqYC6iYDGShMCCnA6WgrqcjocnKsDtBZQXeJ0WkGaCWhZQrJabiJAAU6GWw/Q1Kft8Aq6GaBLAiqRmQVU43FI/pkENJeQEFCAM9LYCqrLoLEV0ZG5NkDn+ZlWQLWdyNjGTgLUJVG3cbmUAAU4Ga05fFLQo+fCVoBWAjpuofcu71LSPp/G2SygxmYB9TZN9x/6pwCA16NRRkpdho7OlQFa5mcQUN0evySgdiqg1iOgAGekqaA2fzgyGwG6KqB5jTMLqG4BvQSpSZuWdPmTAAU4J80A7UNBPxCgk/ycCqgbBbTcw2TIT4CTsllG6jxAFwTU+ZaAvnmdwcdlYgQU4MRsK+jRuT5AJ/lZCqgbfCwh+VJA4wy+HkQAOA2bZaSj0wzQhfysBDSopxcBdW5BQC/TdwQU4MR0r6AfC1DnFwQ0zONHAR3cZAaPgAKclWr7ztkCdCk/JwIaPoeL5NJVnK7YwxTqR5ZN9AAnZnsz/bG5IkDH7Axf2JSfYp6Snz6VkNx4F2eewSOgAOelVtClQvyxaQTobA/9TEAlQENi2nQIqRTQPIMnPwFOylqA9qKg1wXoOArpHs68hyncZJwE1KqAxn8oIQGcns4VdD1Apyug6R1jIqDh8g6bbkLKfexygJKfAGdmQ0H3fjr3ZjNAl/JTS/BTAX2zYVdTKaD0YQI4O+2dTEdnNUALAXU5ROMDzcUkoKkGf0lUMxXQVFECgHPSVtCjc0U3pnIBtC2gQ/79egaeGTzA6elaQbcDtKjCFwLq9KpiI7vlY36OAVr0YepilADgViY7Gd3siyOz3Y1p/OMXAhov6igF1NlCQJ3exUmAApyenhV0M0DHP7xLhzSllOQmAuqsbmHSf62jhAQAgfMGqBuLSHp/SVoBtT4LaD7FmW/yyCugCCgA9JygWwFaOGTcQ18LaD6EVAmo4zJjAIicNUCX8zMWkMJHmwXUhj1MWUCt4xQSAETqJOipjLQZoPnPWAmo2GUhoGZJQJnBA4DvWUHbAbogoHJXsUzgRUB9msCPAqpb7BFQAFDOGaAbAiolpCigYQ/TKKBxiRQBBYDAyhz++AnRDNCF/BQB9XIISWIybmGyuQ2T7mGyqVwPANCtgrba2ZUB2BRQa6WPSNovamUfPTN4AIj0Wka6MkA/IqABDdDDjw4A3IVeFbTRzq4IwNTGbhRQSVH7lgO0LiHlnqEAAOsBenRaAbowgc/RKb9sUxcRuyigHQ0TAHwVa2Wkg7PeD7TIz1pAXdrIlATU1QKqfZrITwDI1AraTTg0AnR8VFSQooBKokYBvXwnFJTikIRfRUABoOLEAZoF1MZt9Cqg4yHOUkDjXXPkJwAU9JmgWw2VfT2BTwIqX6YtTF72MOmIWMcMHgBmuPzB118dmu0ATX3o1wT08qASUJnBT95tAODsdKmgVwVoJaByG9KKgMb6EgIKABO6VNDNAK0E1PpRQN14CAkBBYANJgHaR0JcE6C5I731WUDdOIM3ZRsRTwkJAJbocQ6/eStnbsmkLermAmptHph4xJNTnAAwo8c5/HaApjAcBVQ+RgE1hYBqgNIIFACW6FBBt27lzBN4l89v6od6BTQLaJzB9zA0AHBXzhigaUO9eudUQK1dEFACFAAW6C9BN27lrAVU2jAVp+BTH9CZgPYwMgBwb7prKbIVoKWAxss2UxvQsAJqpWaUBZSrPABgnVpBO8iJrUvlbPyGHffQ50NIzpQCGrs0IaAAsEZvCroRoBMBjYUkzU9vjZM2THkGr3d9IKAAsMyZAnQioE6n70lA3cU+7SigGqBq6McfFgB4BL2VkdoBOhVQLSqtC2gcncOPCgA8hs4UtH2p3ERAtZ2ICujlsUFAAeBDdFZGatyJ5GcCqv3sRgEt+oA6neJ7AhQAGvQ1RW3eyrkloJM9TAgoAGxwkgBdFdCxhFQKaLqLkwAFgAZ99bpsrIHa+KeMm5e0iV1uRO+NzUWjYgbf19sLANybrjJi+1741MbO6d2cWUC9rQTUX77jEVAAaNOVgq4HqM0T+Cyg1mcBveQnAgoAH6enlGhca1wK6CUsKwG9yOdUQCkhAcAV9KSgm/fCW72Mc7ICioACwG2cIkB9ElC9Vc5WAhru8bCx6B7+jQHa08AAwIPoKCga25iEuHlpKqBh09J8DxMCCgCbnCFA9XMtoPEU0pqAEqAAcAX9JOhmgC4IqBt8cQjJpW715CcAXMNZArQQ0HyI882HM5xjGyYXb0qiBA8AVzE2ITo6WwFaCuhbakRf9gF1sUrvCVAAuI5uFHS7I71bElA5daSjYLOo9jEiAPBwelnvazZU1nS0VR9laUSvFSQdBAQUAD5ILwq62ZE+rHYWAmqnK6AIKAB8mE4UtNWRXtPR+FpArZ0IaGx8R4ACwLV0oqDNANUuyWUfZRe62Lm6hBQ7LxOgAHA1fSho80oPEVDdyJQu8ggCOpaQYn4ioADwMfoPUBXQYJeXfzU/veRnJaDap54ABYCP0EWCtq70EAGV2TkCCgD3pe8A9YWApgCVM0mzFVDnCVAA+Cg9JGhjCi97QINtFlcZuySgYxsml07E7/WUAaAH+g7QLKBFF6ZwqnPahgkBBYAb6DpAw175qYBKG9BCQH08JE+AAsCH6SA0mtuYxDZDQKY2oPFcPAIKAF9NB6nR6kivtpm2MIUuIpegHMIvI6AA8NUcPzZaJ5Gk3l4IqKyBFgJalJCOPxAAsDfHz41WgCYBdbEEf5nC+0pAdRsoAgoAt3D83GisgSYBTTfJuclNSOxhAoCv4vDB0drGpAKaNtEHAS0PIVFCAoCv4/DJsV5EWhDQKj9ju/o+dnMBAHycVoD68iKPsYsIAgoAEFifwpuyjZ1sArVzAfUOAQWAs7JuoPUe0KmA6m1zCCgAnJj2Uc4koAYBBQCY0jqJlAXUrAloilAAgBPSvpVzW2HfaQAAB3JJREFUFNCLgk63MEX9JD8B4KS0ArQloGn+joACwGlpnoUfL/K4/E8OcU5XQBFQADgvrSs9qpvkyrvgXbH+SYACwFlpnYXPAhpq8LWA2hSlBCgAnJbGWXifb5JzZkVAmcEDwIlpHOWMAnr5oryKc1wBRUAB4Ny09oHGM5zeGW8mbezyl/s9UwCAF6NRREoCGq7inApo6gJKgALAedkKULmI049XcTq5CgkBBQBoBGgSUBvm8AsroN4hoABwajYC1IT5+yigkpujgBKgAHBmVgN0SUDVOykhAQAE2gEqAuoQUACABdoBKmeQrCsFNJaQ2EQPAKenGaBGt9AXFSQ5xYmAAgD4doAaEdDcxg4BBQAoaQSoUwHVQ/Dp8g4EFAAgsh6gbi6goRU9p+ABAJTmvfAIKADAOq174cMeUJPa2BVXeXAICQDAt++Flz705Qw+9gFFQAEAfCNAlwTU5r1M5CcAQOtOpKmAeuNTgJKfAACNO5GscysCyh5QAIDmnUgIKABAi/UiEgIKANCkFaBRQFPl3Wh+IqAAAMJqgGYBTflpU+mdAAUACLSKSLWApgBlDxMAgNAI0FpA4yFOBBQAINJYA00CWraxQ0ABABKNs/BRQGPhHQEFAKhZLyItCygBCgAQaUzhw+dCQNnDBABQ0egHGj4joAAAa6wHaPiEgAIArNLoxuSnF3l4AhQAYKQZoAgoAMA62wFaCCh7QAEARloBOhNQS34CAGQ2A3S8SQ4BBQAoaQRovoCTFVAAgAW2ArSYwHtLfgIAjDS6MY35iYACAMy5KkARUACAOY2TSAgoAECLloGWN8khoAAAE5oBWk7gCVAAgJpmM5GiCxP5CQAwYWMjPQIKALBGO0ARUACAVdob6RFQAIBVmgE6Cqg3uz0jAICD0NxIj4ACAKzTClAEFACgQeskkqOEBACwTmMNFAEFAGjRmMIjoAAALdYDFAEFAGiyvgaKgAIANGkEaMpP6WgHAAATNhoqe/ITAGCFdkPlAAugAACLNI9yBhBQAIBl2h3pPQIKALDGVoAioAAAKzQ70nu2MAEArNJqqOwRUACAdTYCFAEFAFijHaAIKADAKu0ARUABAFZpBigCCgCwTjNAEVAAgHWa1xojoAAA67QCFAEFAGjQOgvvCFAAgHXadyIBAMAq7TuRAABgleadSAAAsE7zTiQAAFindScSAAA02GyoDAAAy6wGKADAo9k37u7P2h9g10H8k13/v0GCcX8SDHxm17R7AC/xB/iTZz+Bk8K4PwkGvhsI0BPDuD8JBr4bCNATw7g/CQa+GwjQE8O4PwkGvhsI0BPDuD8JBr4bCNATw7g/CQa+GwjQE8O4PwkGvhteIkABAI4IAQoAcCMEKADAjRCgAAA3QoACANwIAQoAcCMEKADAjRCgAAA3QoACANzIjgH68+df6xdf/v0f//y//TF9+/efP33z99sP4FbyuP/hzz99+i9XDDXjfh/ywP/8m0+f/us/pW8z8D2xX4B++e0n/fv05R/+9vOnHKDff/NP/t/S37T1B3Aredx/+CT8Sr/NuD+aPPA/fZaB/06/zcB3xX4B+uOnT78ev04B+qN880f927X+AG4mjftPQW7+/2/iI8b94aSB/+WvdeD1rzwD3xe7Begv//NvFgL0l7/60//rw2QnfFp/ADeTx/2H34WPFy0KQ8+4P5w88L+XgY8DysB3xm4B+sN33y8EaPzi8rL+rvUAbiaN+y//Sx/ruDLuD6f6Cx/yUdZOGPjO2CtAf/rWLwXo97okd/lb86vWA7iVetzDN2Q8GfdHMx34n//sX8MnBr4zdgrQX/76d0sB+stfxe99f/nG+oN9nmOPTMb9wo/f/I5xfzzTgf/yv2Uiz8D3xk4B+uOvPQH6BCbjHgQn+A3j/mjqgf/yb7/55u/CFwx8b+wToD//5R8J0CcwHfdQiw8mxLg/mHrgL4Ma948x8L2xS4B++YewLk6A7s1s3C8D/p1+YtwfyWzgv/zzZ9kIysD3xi4B+uO34WM7QH/VeAC3MRt3/4N+ybg/lvnA+58/hwFl4HtjjwD95X/IzraFAE0lRzm0sf4AbmJh3L/Vz4z7Q5kPvA9/53/FwPfHHgH646dMvf0zf3F5+/2u9QBuYTbuP337x/xLjPvjmP+F92H/mB40YuC7YsdmIkv7QOO5i58/h8frD+AryOP+01/qUP4/xn0XJhtwpXzHwHfGkwM0Hv3Np4HXHsDtpHGP+fnl9+ORa8b9kdQB+r0ubTLwffGUAP3y/ac//df45W8vX/0h9WlafQC3E8f9D2lWKSbEuD8eHfgvv/3m2//wX37476oMDHxfPCNAv5fXceyZ8OX/fB57Ja4/gJvRcf/DZFmOcX848S/87z9f3rT+4l/Sdxn4rqAjPQDAjRCgAAA3QoACANwIAQoAcCMEKADAjRCgAAA3QoACANwIAQoAcCMEKADAjRCgAAA3QoACANwIAQoAcCMEKADAjRCgAAA3QoACANwIAQoAcCMEKADAjRCgAAA3QoACANwIAQoAcCMEKADAjfwntnx00jy71cQAAAAASUVORK5CYII=" width="672" /></p>
<pre class="r"><code>waic(sm4) # Watanabe-Akaike information criterion</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##           Estimate  SE
## elpd_waic    -61.0 1.4
## p_waic         2.1 0.4
## waic         122.0 2.8
## 
## 1 (9.1%) p_waic estimates greater than 0.4. We recommend trying loo instead.</code></pre>
<pre class="r"><code>loo(sm4) # Leave One Out Cross-Validation</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo    -61.1 1.5
## p_loo         2.3 0.4
## looic       122.2 2.9
## ------
## Monte Carlo SE of elpd_loo is 0.0.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     9     81.8%   1584      
##  (0.5, 0.7]   (ok)       2     18.2%   844       
##    (0.7, 1]   (bad)      0      0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad) 0      0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
<pre class="r"><code>loo(sm4, k_threshold = 0.7) # Use this alternative if you get a warning in the above line</code></pre>
<pre><code>## 
## Computed from 4000 by 11 log-likelihood matrix
## 
##          Estimate  SE
## elpd_loo    -61.1 1.5
## p_loo         2.3 0.4
## looic       122.2 2.9
## ------
## Monte Carlo SE of elpd_loo is 0.0.
## 
## Pareto k diagnostic values:
##                          Count Pct.    Min. n_eff
## (-Inf, 0.5]   (good)     9     81.8%   1584      
##  (0.5, 0.7]   (ok)       2     18.2%   844       
##    (0.7, 1]   (bad)      0      0.0%   &lt;NA&gt;      
##    (1, Inf)   (very bad) 0      0.0%   &lt;NA&gt;      
## 
## All Pareto k estimates are ok (k &lt; 0.7).
## See help(&#39;pareto-k-diagnostic&#39;) for details.</code></pre>
</div>
<div id="loo-output-explanation-1" class="section level1">
<h1>Loo output explanation</h1>
<ul>
<li>From the above loo cross validation outputs, we observe that all the
four GP models have pareto k estimates with k-threshold values of
k&lt;0.7 which are okay. -We therefore validate that our emulator is a
good representation of the simulators.</li>
</ul>
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